﻿197:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
Podemos generalizar el cálculo de derivadas de otras funciones. Así, :@0.108233:0.105105:0.599973:0.105105:0.599973:0.088607:0.108233:0.088607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proponemos el siguiente procedimiento.:@0.108233:0.122455:0.396555:0.122455:0.396555:0.105958:0.108233:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i)  :@0.108233:0.168782:0.129213:0.168783:0.129213:0.151591:0.108233:0.151590:0.000000:0.000000:0.000000:0.000000
Formar el cociente incremental :@0.131968:0.168074:0.357620:0.168074:0.357620:0.151576:0.131968:0.151576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.365272:0.158138:0.388718:0.158138:0.388718:0.141669:0.365272:0.141669:0.000000:0.000000:0.000000
0:@0.389616:0.160241:0.394534:0.160241:0.394534:0.150692:0.389616:0.150692:0.000000
+:@0.397993:0.158658:0.408569:0.158658:0.408569:0.142377:0.397993:0.142377:0.000000
h:@0.410708:0.158138:0.420109:0.158138:0.420109:0.141669:0.410708:0.141669:0.000000
(:@0.373387:0.161691:0.379802:0.161691:0.379802:0.140201:0.373387:0.140201:0.000000
) ( ):@0.420240:0.161691:0.470676:0.161691:0.470676:0.140201:0.420240:0.140201:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.428512:0.158022:0.439012:0.158022:0.439012:0.141524:0.428512:0.141524:0.000000
x:@0.448664:0.158138:0.456138:0.158138:0.456138:0.141669:0.448664:0.141669:0.000000
0:@0.457045:0.160241:0.461962:0.160241:0.461962:0.150692:0.457045:0.150692:0.000000
h:@0.411760:0.179708:0.421161:0.179708:0.421161:0.163239:0.411760:0.163239:0.000000
f x h:@0.365272:0.206975:0.413204:0.206975:0.413204:0.190506:0.365272:0.190506:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.391087:0.207496:0.401664:0.207496:0.401664:0.191215:0.391087:0.191215:0.000000
(:@0.373387:0.210530:0.379802:0.210530:0.379802:0.189039:0.373387:0.189039:0.000000
):@0.413324:0.210530:0.419739:0.210530:0.419739:0.189039:0.413324:0.189039:0.000000
–:@0.421602:0.206859:0.432101:0.206859:0.432101:0.190362:0.421602:0.190362:0.000000
f x:@0.437457:0.206975:0.460903:0.206975:0.460903:0.190506:0.437457:0.190506:0.000000:0.000000:0.000000
( ):@0.445579:0.210530:0.468544:0.210530:0.468544:0.189039:0.445579:0.189039:0.000000:0.000000:0.000000
h:@0.410713:0.228547:0.420114:0.228547:0.420114:0.212078:0.410713:0.212078:0.000000
=:@0.472747:0.217717:0.483323:0.217717:0.483323:0.201436:0.472747:0.201436:0.000000
h ax b ah:@0.487831:0.206974:0.586412:0.206974:0.586412:0.190505:0.487831:0.190505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.504689:0.206858:0.513185:0.206858:0.513185:0.190360:0.504689:0.190360:0.000000
+ +:@0.532508:0.207494:0.566068:0.207494:0.566068:0.191213:0.532508:0.191213:0.000000:0.000000:0.000000
(:@0.497983:0.210530:0.504398:0.210530:0.504398:0.189039:0.497983:0.189039:0.000000
):@0.586506:0.210530:0.592922:0.210530:0.592922:0.189039:0.586506:0.189039:0.000000
h:@0.535727:0.228547:0.545129:0.228547:0.545129:0.212078:0.535727:0.212078:0.000000
=:@0.597145:0.217717:0.607722:0.217717:0.607722:0.201436:0.597145:0.201436:0.000000
2:@0.610284:0.217081:0.618780:0.217081:0.618780:0.200583:0.610284:0.200583:0.000000
ax b ah:@0.619454:0.217196:0.692007:0.217196:0.692007:0.200727:0.619454:0.200727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.638103:0.217717:0.671663:0.217717:0.671663:0.201436:0.638103:0.201436:0.000000:0.000000:0.000000
.:@0.692181:0.217081:0.694935:0.217081:0.694935:0.200583:0.692181:0.200583:0.000000
lím:@0.360125:0.265923:0.382222:0.265923:0.382222:0.249425:0.360125:0.249425:0.000000:0.000000:0.000000
h:@0.360770:0.272796:0.366212:0.272796:0.366212:0.263264:0.360770:0.263264:0.000000
0:@0.376582:0.272729:0.381500:0.272729:0.381500:0.263180:0.376582:0.263180:0.000000
f x h:@0.387993:0.255814:0.435925:0.255814:0.435925:0.239345:0.387993:0.239345:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.413808:0.256334:0.424385:0.256334:0.424385:0.240053:0.413808:0.240053:0.000000
(:@0.396108:0.259368:0.402523:0.259368:0.402523:0.237878:0.396108:0.237878:0.000000
):@0.436045:0.259368:0.442460:0.259368:0.442460:0.237878:0.436045:0.237878:0.000000
–:@0.444323:0.255698:0.454823:0.255698:0.454823:0.239200:0.444323:0.239200:0.000000
f x:@0.460178:0.255814:0.483624:0.255814:0.483624:0.239345:0.460178:0.239345:0.000000:0.000000:0.000000
( ):@0.468299:0.259368:0.491263:0.259368:0.491263:0.237878:0.468299:0.237878:0.000000:0.000000:0.000000
h:@0.433434:0.277384:0.442835:0.277384:0.442835:0.260915:0.433434:0.260915:0.000000
=:@0.495468:0.266554:0.506045:0.266554:0.506045:0.250273:0.495468:0.250273:0.000000
lím:@0.508511:0.265918:0.530608:0.265918:0.530608:0.249420:0.508511:0.249420:0.000000:0.000000:0.000000
h:@0.509187:0.272796:0.514628:0.272796:0.514628:0.263264:0.509187:0.263264:0.000000
0:@0.524998:0.272729:0.529916:0.272729:0.529916:0.263180:0.524998:0.263180:0.000000
f x h:@0.536409:0.255814:0.584341:0.255814:0.584341:0.239345:0.536409:0.239345:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.562225:0.256334:0.572801:0.256334:0.572801:0.240053:0.562225:0.240053:0.000000
(:@0.544522:0.259368:0.550938:0.259368:0.550938:0.237878:0.544522:0.237878:0.000000
):@0.584459:0.259368:0.590875:0.259368:0.590875:0.237878:0.584459:0.237878:0.000000
–:@0.592739:0.255698:0.603239:0.255698:0.603239:0.239200:0.592739:0.239200:0.000000
f x:@0.608594:0.255814:0.632040:0.255814:0.632040:0.239345:0.608594:0.239345:0.000000:0.000000:0.000000
( ):@0.616715:0.259368:0.639679:0.259368:0.639679:0.237878:0.616715:0.237878:0.000000:0.000000:0.000000
h:@0.581850:0.277384:0.591252:0.277384:0.591252:0.260915:0.581850:0.260915:0.000000
=:@0.643884:0.266554:0.654461:0.266554:0.654461:0.250273:0.643884:0.250273:0.000000
2:@0.657023:0.265918:0.665519:0.265918:0.665519:0.249420:0.657023:0.249420:0.000000
ax b:@0.666193:0.266034:0.706419:0.266034:0.706419:0.249565:0.666193:0.249565:0.000000:0.000000:0.000000:0.000000
+:@0.684842:0.266554:0.695419:0.266554:0.695419:0.250273:0.684842:0.250273:0.000000
.:@0.706728:0.265918:0.709482:0.265918:0.709482:0.249420:0.706728:0.249420:0.000000
f x:@0.363767:0.314876:0.387213:0.314876:0.387213:0.298407:0.363767:0.298407:0.000000:0.000000:0.000000
( ):@0.371869:0.318421:0.394833:0.318421:0.394833:0.296931:0.371869:0.296931:0.000000:0.000000:0.000000
=:@0.397520:0.315388:0.408097:0.315388:0.408097:0.299108:0.397520:0.299108:0.000000
lím:@0.410563:0.314752:0.432660:0.314752:0.432660:0.298254:0.410563:0.298254:0.000000:0.000000:0.000000
h:@0.411237:0.321635:0.416679:0.321635:0.416679:0.312103:0.411237:0.312103:0.000000
0:@0.427049:0.321568:0.431966:0.321568:0.431966:0.312019:0.427049:0.312019:0.000000
f x h:@0.438460:0.304652:0.486392:0.304652:0.486392:0.288183:0.438460:0.288183:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.464275:0.305173:0.474852:0.305173:0.474852:0.288892:0.464275:0.288892:0.000000
(:@0.446575:0.308206:0.452990:0.308206:0.452990:0.286715:0.446575:0.286715:0.000000
):@0.486511:0.308206:0.492927:0.308206:0.492927:0.286715:0.486511:0.286715:0.000000
–:@0.494790:0.304537:0.505289:0.304537:0.505289:0.288039:0.494790:0.288039:0.000000
f x:@0.510645:0.304652:0.534091:0.304652:0.534091:0.288183:0.510645:0.288183:0.000000:0.000000:0.000000
( ):@0.518766:0.308206:0.541730:0.308206:0.541730:0.286715:0.518766:0.286715:0.000000:0.000000:0.000000
h:@0.483901:0.326222:0.493302:0.326222:0.493302:0.309754:0.483901:0.309754:0.000000
=:@0.545935:0.315393:0.556511:0.315393:0.556511:0.299112:0.545935:0.299112:0.000000
2:@0.559074:0.314757:0.567570:0.314757:0.567570:0.298259:0.559074:0.298259:0.000000
ax b:@0.568244:0.314872:0.608470:0.314872:0.608470:0.298403:0.568244:0.298403:0.000000:0.000000:0.000000:0.000000
+:@0.586893:0.315393:0.597469:0.315393:0.597469:0.299112:0.586893:0.299112:0.000000
.:@0.608778:0.314757:0.611533:0.314757:0.611533:0.298259:0.608778:0.298259:0.000000
f x:@0.363782:0.362413:0.387227:0.362413:0.387227:0.345944:0.363782:0.345944:0.000000:0.000000:0.000000
( ):@0.371869:0.365964:0.394833:0.365964:0.394833:0.344473:0.371869:0.344473:0.000000:0.000000:0.000000
=:@0.397520:0.362929:0.408097:0.362929:0.408097:0.346649:0.397520:0.346649:0.000000
–:@0.410659:0.362293:0.421159:0.362293:0.421159:0.345795:0.410659:0.345795:0.000000
5:@0.423528:0.353459:0.432024:0.353459:0.432024:0.336961:0.423528:0.336961:0.000000
2:@0.423528:0.373658:0.432024:0.373658:0.432024:0.357160:0.423528:0.357160:0.000000
x:@0.435954:0.362409:0.443429:0.362409:0.443429:0.345940:0.435954:0.345940:0.000000
2:@0.444636:0.354258:0.449554:0.354258:0.449554:0.344709:0.444636:0.344709:0.000000
+:@0.453012:0.362929:0.463589:0.362929:0.463589:0.346649:0.453012:0.346649:0.000000
0,1 ; ´:@0.465728:0.362293:0.518996:0.362293:0.518996:0.345795:0.465728:0.345795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.486457:0.362409:0.532270:0.362409:0.532270:0.345940:0.486457:0.345940:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.518034:0.365964:0.539900:0.365964:0.539900:0.344473:0.518034:0.344473:0.000000:0.000000:0.000000
=:@0.542586:0.362929:0.553162:0.362929:0.553162:0.346649:0.542586:0.346649:0.000000
–5:@0.555725:0.362293:0.574643:0.362293:0.574643:0.345795:0.555725:0.345795:0.000000:0.000000
x:@0.575626:0.362409:0.583101:0.362409:0.583101:0.345940:0.575626:0.345940:0.000000
+:@0.585470:0.362929:0.596047:0.362929:0.596047:0.346649:0.585470:0.346649:0.000000
0,1; ´:@0.598185:0.362293:0.641975:0.362293:0.641975:0.345795:0.598185:0.345795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.629549:0.362409:0.633845:0.362409:0.633845:0.345940:0.629549:0.345940:0.000000
1:@0.654633:0.353459:0.663129:0.353459:0.663129:0.336961:0.654633:0.336961:0.000000
50:@0.649604:0.373658:0.666519:0.373658:0.666519:0.357160:0.649604:0.357160:0.000000:0.000000
=:@0.677828:0.362929:0.688405:0.362929:0.688405:0.346649:0.677828:0.346649:0.000000
0.:@0.692161:0.362293:0.705020:0.361937:0.705020:0.345440:0.692161:0.345795:0.000000:0.000000
 con  ≠ 0.:@0.476347:0.168072:0.551327:0.168072:0.551327:0.151574:0.476347:0.151574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.511583:0.168187:0.525127:0.168187:0.525127:0.151719:0.511583:0.151719:0.000000:0.000000
ii) :@0.108226:0.196816:0.129938:0.196816:0.129938:0.179624:0.108226:0.179624:0.000000:0.000000:0.000000:0.000000
 Estudiar el límite del cociente incremental cuando :@0.129937:0.196108:0.481682:0.196108:0.481682:0.179610:0.129937:0.179610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.480082:0.196224:0.493626:0.196224:0.493626:0.179755:0.480082:0.179755:0.000000:0.000000
→ :@0.492029:0.196658:0.515860:0.196658:0.515860:0.177818:0.492029:0.177818:0.000000:0.000000
0  y cuando :@0.513991:0.196108:0.599912:0.196114:0.599912:0.179617:0.513991:0.179610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.522503:0.189763:0.528804:0.189763:0.528804:0.180145:0.522503:0.180145:0.000000
h :@0.131978:0.213581:0.145521:0.213581:0.145521:0.197112:0.131978:0.197112:0.000000:0.000000
→ :@0.148816:0.214015:0.172647:0.214015:0.172647:0.195175:0.148816:0.195175:0.000000:0.000000
0 . Si estos dos límites coinciden, ese valor común es la  :@0.176461:0.213465:0.599907:0.213465:0.599907:0.196968:0.176461:0.196968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.184957:0.207113:0.191079:0.207113:0.191079:0.197495:0.184957:0.197495:0.000000
derivada  ( ).:@0.131973:0.230816:0.232310:0.230816:0.232310:0.214318:0.131973:0.214318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’ x:@0.196781:0.230932:0.218647:0.230932:0.218647:0.214463:0.196781:0.214463:0.000000:0.000000:0.000000:0.000000
0:@0.218650:0.234094:0.223603:0.234094:0.223603:0.224476:0.218650:0.224476:0.000000
iii):@0.108241:0.256003:0.130685:0.256003:0.130685:0.238812:0.108241:0.238812:0.000000:0.000000:0.000000:0.000000
 Interpretar los resultados de   y   Concluir. :@0.130686:0.255296:0.441390:0.255296:0.441390:0.238798:0.130686:0.238798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. ii.:@0.334932:0.255512:0.370515:0.255512:0.370515:0.238798:0.334932:0.238798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada de la función cuadrática:@0.108233:0.308744:0.378470:0.308744:0.378470:0.291061:0.108233:0.291061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.108233:0.325452:0.146031:0.325452:0.146031:0.308954:0.108233:0.308954:0.000000:0.000000:0.000000:0.000000:0.000000
a, b :@0.146841:0.325567:0.176731:0.325567:0.176731:0.309099:0.146841:0.309099:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.177549:0.326001:0.196102:0.326001:0.196102:0.307161:0.177549:0.307161:0.000000:0.000000
R :@0.197046:0.324483:0.215772:0.324483:0.215772:0.311036:0.197046:0.311036:0.000000:0.000000
con :@0.216716:0.325452:0.247810:0.325452:0.247810:0.308954:0.216716:0.308954:0.000000:0.000000:0.000000:0.000000
a ≠ :@0.248619:0.325567:0.277584:0.325567:0.277584:0.309099:0.248619:0.309099:0.000000:0.000000:0.000000:0.000000
0. La función cuadrática está definida como:  :@0.278403:0.325452:0.599882:0.325452:0.599882:0.308954:0.278403:0.308954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.108214:0.342918:0.130080:0.342918:0.130080:0.326449:0.108214:0.326449:0.000000:0.000000:0.000000:0.000000
( ) = :@0.116652:0.342802:0.155125:0.342802:0.155125:0.326305:0.116652:0.326305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax + bx + c,   x    .:@0.155125:0.342918:0.298792:0.342918:0.298792:0.326449:0.155125:0.326449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.171614:0.336451:0.178982:0.336451:0.178982:0.326833:0.171614:0.326833:0.000000:0.000000
∈:@0.264153:0.343352:0.277890:0.343352:0.277890:0.324512:0.264153:0.324512:0.000000
R:@0.282031:0.341834:0.295940:0.341834:0.295940:0.328387:0.282031:0.328387:0.000000
Calculemos  ( ). Para el efecto, estudiemos el límite del cociente  :@0.108239:0.377504:0.599927:0.377504:0.599927:0.361006:0.108239:0.361006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’ x:@0.198805:0.377620:0.220671:0.377620:0.220671:0.361151:0.198805:0.361151:0.000000:0.000000:0.000000:0.000000
incremental.:@0.108258:0.394855:0.196108:0.394855:0.196108:0.378357:0.108258:0.378357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para:@0.108258:0.412206:0.138601:0.412206:0.138601:0.395708:0.108258:0.395708:0.000000:0.000000:0.000000:0.000000
 x :@0.138601:0.412321:0.154360:0.412321:0.154360:0.395852:0.138601:0.395852:0.000000:0.000000:0.000000
∈ :@0.154360:0.412755:0.172912:0.412755:0.172912:0.393915:0.154360:0.393915:0.000000:0.000000
R:@0.172912:0.411237:0.186822:0.411237:0.186822:0.397790:0.172912:0.397790:0.000000
 y :@0.186822:0.412206:0.202928:0.412206:0.202928:0.395708:0.186822:0.395708:0.000000:0.000000:0.000000
h ≠ :@0.202928:0.412321:0.231498:0.412321:0.231498:0.395852:0.202928:0.395852:0.000000:0.000000:0.000000:0.000000
0, de la definición de la función   se tiene :@0.231498:0.412206:0.523943:0.412206:0.523943:0.395708:0.231498:0.395708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.457092:0.412321:0.461388:0.412321:0.461388:0.395852:0.457092:0.395852:0.000000
f  x  h:@0.108258:0.436800:0.158618:0.436800:0.158618:0.420331:0.108258:0.420331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( +  ) =  ( +  ) + ( +  ) +  =  (  + 2:@0.116696:0.436685:0.420256:0.436685:0.420256:0.420187:0.116696:0.420187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x  h:@0.183662:0.436800:0.234561:0.436800:0.234561:0.420331:0.183662:0.420331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.240487:0.430332:0.247855:0.430332:0.247855:0.420714:0.240487:0.420714:0.000000:0.000000
 b x  h:@0.258662:0.436801:0.313992:0.436801:0.313992:0.420332:0.258662:0.420332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c  a x:@0.339037:0.436801:0.387720:0.436801:0.387720:0.420332:0.339037:0.420332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.387717:0.430332:0.392670:0.430332:0.392670:0.420714:0.387717:0.420714:0.000000
xh  h + b x + h:@0.420256:0.436801:0.546926:0.436801:0.546926:0.420332:0.420256:0.420332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+  ) :@0.441236:0.436685:0.480634:0.436685:0.480634:0.420187:0.441236:0.420187:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.465587:0.430332:0.470540:0.430332:0.470540:0.420714:0.465587:0.420714:0.000000
(:@0.504927:0.436685:0.510880:0.436685:0.510880:0.420187:0.504927:0.420187:0.000000
)+ :@0.546926:0.436685:0.567828:0.436685:0.567828:0.420187:0.546926:0.420187:0.000000:0.000000:0.000000
c:@0.567828:0.436801:0.575014:0.436801:0.575014:0.420332:0.567828:0.420332:0.000000
= ax:@0.108236:0.459429:0.139735:0.459429:0.139735:0.442960:0.108236:0.442960:0.000000:0.000000:0.000000:0.000000
2:@0.139731:0.452964:0.144684:0.452964:0.144684:0.443345:0.139731:0.443345:0.000000
+2:@0.144685:0.459317:0.163988:0.459317:0.163988:0.442819:0.144685:0.442819:0.000000:0.000000
axh + ah:@0.163988:0.459432:0.227255:0.459432:0.227255:0.442963:0.163988:0.442963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.227252:0.452964:0.234620:0.452964:0.234620:0.443345:0.227252:0.443345:0.000000:0.000000
+ :@0.234620:0.459317:0.249570:0.459317:0.249570:0.442819:0.234620:0.442819:0.000000:0.000000
bx   bh  c ax:@0.249570:0.459432:0.365835:0.459432:0.365835:0.442963:0.249570:0.442963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.270453:0.459317:0.281261:0.459317:0.281261:0.442819:0.270453:0.442819:0.000000
+   = :@0.308136:0.459317:0.349364:0.459317:0.349364:0.442819:0.308136:0.442819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.365833:0.452964:0.373201:0.452964:0.373201:0.443345:0.365833:0.443345:0.000000:0.000000
+ :@0.373201:0.459317:0.388151:0.459317:0.388151:0.442819:0.373201:0.442819:0.000000:0.000000
bx  c  h  ax  b + ah:@0.388151:0.459432:0.560517:0.459432:0.560517:0.442963:0.388151:0.442963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+  +  (2:@0.409034:0.459317:0.478254:0.459317:0.478254:0.442819:0.409034:0.442819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.498868:0.459317:0.513818:0.459317:0.513818:0.442819:0.498868:0.442819:0.000000:0.000000
):@0.560517:0.459317:0.566470:0.459317:0.566470:0.442819:0.560517:0.442819:0.000000
=  ( ) :@0.108226:0.481945:0.155137:0.481945:0.155137:0.465447:0.108226:0.465447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x + h ax  b  ah:@0.123176:0.482061:0.272058:0.482061:0.272058:0.465592:0.123176:0.465592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.179566:0.481945:0.194015:0.481945:0.194015:0.465447:0.179566:0.465447:0.000000:0.000000
+  + ).:@0.214628:0.481945:0.280766:0.481945:0.280766:0.465447:0.214628:0.465447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego,  :@0.108226:0.526305:0.162477:0.526305:0.162477:0.509807:0.108226:0.509807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.167389:0.469977:0.190835:0.469977:0.190835:0.453508:0.167389:0.453508:0.000000:0.000000:0.000000
0:@0.191732:0.472080:0.196650:0.472080:0.196650:0.462532:0.191732:0.462532:0.000000
+:@0.200108:0.470498:0.210685:0.470498:0.210685:0.454217:0.200108:0.454217:0.000000
h:@0.212823:0.469977:0.222225:0.469977:0.222225:0.453508:0.212823:0.453508:0.000000
(:@0.175502:0.473531:0.181918:0.473531:0.181918:0.452040:0.175502:0.452040:0.000000
) ( ):@0.222355:0.473531:0.272792:0.473531:0.272792:0.452040:0.222355:0.452040:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.230629:0.469862:0.241129:0.469862:0.241129:0.453364:0.230629:0.453364:0.000000
x:@0.250781:0.469977:0.258256:0.469977:0.258256:0.453508:0.250781:0.453508:0.000000
0:@0.259160:0.472080:0.264078:0.472080:0.264078:0.462532:0.259160:0.462532:0.000000
h:@0.213877:0.491547:0.223278:0.491547:0.223278:0.475079:0.213877:0.475079:0.000000
f x h:@0.167389:0.518816:0.215321:0.518816:0.215321:0.502347:0.167389:0.502347:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.193205:0.519336:0.203781:0.519336:0.203781:0.503056:0.193205:0.503056:0.000000
(:@0.175502:0.522369:0.181918:0.522369:0.181918:0.500879:0.175502:0.500879:0.000000
):@0.215439:0.522369:0.221855:0.522369:0.221855:0.500879:0.215439:0.500879:0.000000
–:@0.223719:0.518700:0.234219:0.518700:0.234219:0.502202:0.223719:0.502202:0.000000
f x:@0.239574:0.518816:0.263020:0.518816:0.263020:0.502347:0.239574:0.502347:0.000000:0.000000:0.000000
( ):@0.247695:0.522369:0.270659:0.522369:0.270659:0.500879:0.247695:0.500879:0.000000:0.000000:0.000000
h:@0.212830:0.540386:0.222231:0.540386:0.222231:0.523917:0.212830:0.523917:0.000000
=:@0.274866:0.529552:0.285442:0.529552:0.285442:0.513271:0.274866:0.513271:0.000000
h ax b ah:@0.289950:0.518809:0.388531:0.518809:0.388531:0.502340:0.289950:0.502340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.306808:0.518693:0.315304:0.518693:0.315304:0.502196:0.306808:0.502196:0.000000
+ +:@0.334627:0.519329:0.368187:0.519329:0.368187:0.503049:0.334627:0.503049:0.000000:0.000000:0.000000
(:@0.300098:0.522369:0.306514:0.522369:0.306514:0.500879:0.300098:0.500879:0.000000
):@0.388622:0.522369:0.395037:0.522369:0.395037:0.500879:0.388622:0.500879:0.000000
h:@0.337845:0.540386:0.347246:0.540386:0.347246:0.523917:0.337845:0.523917:0.000000
=:@0.399252:0.529552:0.409829:0.529552:0.409829:0.513271:0.399252:0.513271:0.000000
2:@0.412391:0.528916:0.420887:0.528916:0.420887:0.512418:0.412391:0.512418:0.000000
ax b ah:@0.421562:0.529031:0.494114:0.529031:0.494114:0.512563:0.421562:0.512563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.440210:0.529552:0.473770:0.529552:0.473770:0.513271:0.440210:0.513271:0.000000:0.000000:0.000000
.:@0.494288:0.528916:0.497043:0.528916:0.497043:0.512418:0.494288:0.512418:0.000000
lím:@0.162231:0.577757:0.184328:0.577757:0.184328:0.561259:0.162231:0.561259:0.000000:0.000000:0.000000
h:@0.162886:0.584636:0.168328:0.584636:0.168328:0.575104:0.162886:0.575104:0.000000
0:@0.178698:0.584569:0.183615:0.584569:0.183615:0.575020:0.178698:0.575020:0.000000
f x h:@0.190109:0.567653:0.238041:0.567653:0.238041:0.551184:0.190109:0.551184:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.215924:0.568174:0.226501:0.568174:0.226501:0.551893:0.215924:0.551893:0.000000
(:@0.198224:0.571208:0.204639:0.571208:0.204639:0.549717:0.198224:0.549717:0.000000
):@0.238160:0.571208:0.244576:0.571208:0.244576:0.549717:0.238160:0.549717:0.000000
–:@0.246439:0.567537:0.256938:0.567537:0.256938:0.551040:0.246439:0.551040:0.000000
f x:@0.262294:0.567653:0.285740:0.567653:0.285740:0.551184:0.262294:0.551184:0.000000:0.000000:0.000000
( ):@0.270416:0.571208:0.293381:0.571208:0.293381:0.549717:0.270416:0.549717:0.000000:0.000000:0.000000
h:@0.235550:0.589223:0.244951:0.589223:0.244951:0.572755:0.235550:0.572755:0.000000
=:@0.297584:0.578394:0.308160:0.578394:0.308160:0.562113:0.297584:0.562113:0.000000
lím:@0.310626:0.577757:0.332724:0.577757:0.332724:0.561260:0.310626:0.561260:0.000000:0.000000:0.000000
h:@0.311302:0.584636:0.316744:0.584636:0.316744:0.575104:0.311302:0.575104:0.000000
0:@0.327114:0.584569:0.332032:0.584569:0.332032:0.575020:0.327114:0.575020:0.000000
f x h:@0.338525:0.567653:0.386457:0.567653:0.386457:0.551184:0.338525:0.551184:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.364340:0.568174:0.374917:0.568174:0.374917:0.551893:0.364340:0.551893:0.000000
(:@0.346640:0.571208:0.353055:0.571208:0.353055:0.549717:0.346640:0.549717:0.000000
):@0.386577:0.571208:0.392992:0.571208:0.392992:0.549717:0.386577:0.549717:0.000000
–:@0.394855:0.567537:0.405354:0.567537:0.405354:0.551040:0.394855:0.551040:0.000000
f xax b ah:@0.410710:0.567653:0.507387:0.567856:0.507387:0.551387:0.410710:0.551184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.418831:0.571208:0.441795:0.571208:0.441795:0.549717:0.418831:0.549717:0.000000:0.000000:0.000000
h:@0.383966:0.589223:0.393367:0.589223:0.393367:0.572755:0.383966:0.572755:0.000000
=:@0.446000:0.578394:0.456577:0.578394:0.456577:0.562113:0.446000:0.562113:0.000000
2:@0.459139:0.577757:0.467635:0.577757:0.467635:0.561260:0.459139:0.561260:0.000000
ax b:@0.468309:0.577873:0.508535:0.577873:0.508535:0.561404:0.468309:0.561404:0.000000:0.000000:0.000000:0.000000
+:@0.486958:0.578394:0.497534:0.578394:0.497534:0.562113:0.486958:0.562113:0.000000
.:@0.508843:0.577757:0.511598:0.577757:0.511598:0.561260:0.508843:0.561260:0.000000
f x:@0.165883:0.626716:0.189329:0.626716:0.189329:0.610247:0.165883:0.610247:0.000000:0.000000:0.000000
( ):@0.173985:0.630261:0.196949:0.630261:0.196949:0.608770:0.173985:0.608770:0.000000:0.000000:0.000000
=:@0.199637:0.627228:0.210214:0.627228:0.210214:0.610947:0.199637:0.610947:0.000000
lím:@0.212680:0.626592:0.234777:0.626592:0.234777:0.610094:0.212680:0.610094:0.000000:0.000000:0.000000
h:@0.213353:0.633474:0.218794:0.633474:0.218794:0.623942:0.213353:0.623942:0.000000
0:@0.229164:0.633407:0.234082:0.633407:0.234082:0.623858:0.229164:0.623858:0.000000
f x h:@0.240575:0.616492:0.288507:0.616492:0.288507:0.600023:0.240575:0.600023:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.266391:0.617012:0.276967:0.617012:0.276967:0.600731:0.266391:0.600731:0.000000
(:@0.248690:0.620045:0.255106:0.620045:0.255106:0.598555:0.248690:0.598555:0.000000
):@0.288627:0.620045:0.295042:0.620045:0.295042:0.598555:0.288627:0.598555:0.000000
– lím:@0.296905:0.616376:0.346007:0.616573:0.346007:0.600076:0.296905:0.599878:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.312761:0.616492:0.336206:0.616492:0.336206:0.600023:0.312761:0.600023:0.000000:0.000000:0.000000
( ):@0.320883:0.620045:0.343847:0.620045:0.343847:0.598555:0.320883:0.598555:0.000000:0.000000:0.000000
h:@0.286016:0.638062:0.295418:0.638062:0.295418:0.621593:0.286016:0.621593:0.000000
=:@0.348050:0.627232:0.358627:0.627232:0.358627:0.610951:0.348050:0.610951:0.000000
2:@0.361189:0.626596:0.369685:0.626596:0.369685:0.610098:0.361189:0.610098:0.000000
ax b h f x h:@0.370359:0.626712:0.446948:0.625944:0.446948:0.609475:0.370359:0.610243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.389008:0.627232:0.399585:0.627232:0.399585:0.610951:0.389008:0.610951:0.000000
.:@0.410894:0.626596:0.413649:0.626596:0.413649:0.610098:0.410894:0.610098:0.000000
f x h:@0.165897:0.674253:0.191660:0.675900:0.191660:0.659432:0.165897:0.657784:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ) ( ):@0.173985:0.677803:0.242227:0.679455:0.242227:0.657965:0.173985:0.656312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.199637:0.674770:0.210214:0.674770:0.210214:0.658489:0.199637:0.658489:0.000000
–:@0.212776:0.674134:0.223276:0.674134:0.223276:0.657636:0.212776:0.657636:0.000000
5 lím:@0.225646:0.665300:0.248059:0.665412:0.248059:0.648914:0.225646:0.648802:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.225646:0.685499:0.234142:0.685499:0.234142:0.669001:0.225646:0.669001:0.000000
x:@0.238072:0.674250:0.245547:0.674250:0.245547:0.657781:0.238072:0.657781:0.000000
2:@0.246754:0.666097:0.251671:0.666097:0.251671:0.656548:0.246754:0.656548:0.000000
+:@0.255130:0.674770:0.265706:0.674770:0.265706:0.658489:0.255130:0.658489:0.000000
0,1 ; ´:@0.267845:0.674134:0.321113:0.674134:0.321113:0.657636:0.267845:0.657636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x x h:@0.288574:0.674250:0.348998:0.674783:0.348998:0.658314:0.288574:0.657781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ):@0.320149:0.677803:0.355534:0.678336:0.355534:0.656846:0.320149:0.656312:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.344702:0.674770:0.355278:0.674770:0.355278:0.658489:0.344702:0.658489:0.000000
–5:@0.357840:0.674134:0.376759:0.674134:0.376759:0.657636:0.357840:0.657636:0.000000:0.000000
x f x:@0.377741:0.674250:0.396698:0.674783:0.396698:0.658314:0.377741:0.657781:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.387586:0.674770:0.398163:0.674770:0.398163:0.658489:0.387586:0.658489:0.000000
0,1; ´:@0.400301:0.674134:0.444091:0.674134:0.444091:0.657636:0.400301:0.657636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.431665:0.674250:0.435961:0.674250:0.435961:0.657781:0.431665:0.657781:0.000000
1:@0.456748:0.665300:0.465244:0.665300:0.465244:0.648802:0.456748:0.648802:0.000000
50.:@0.451720:0.685499:0.474143:0.684883:0.474143:0.668385:0.451720:0.669001:0.000000:0.000000:0.000000
=:@0.479944:0.674770:0.490520:0.674770:0.490520:0.658489:0.479944:0.658489:0.000000
0.:@0.494277:0.674134:0.507135:0.673777:0.507135:0.657279:0.494277:0.657636:0.000000:0.000000
 :@0.108233:0.543658:0.112375:0.543658:0.112375:0.527160:0.108233:0.527160:0.000000
Como  es constante, es claro que para | | suficientemente pequeño,   :@0.108233:0.561008:0.599905:0.561008:0.599905:0.544511:0.108233:0.544511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.157090:0.561124:0.170209:0.561124:0.170209:0.544655:0.157090:0.544655:0.000000:0.000000
h  :@0.392684:0.561124:0.411237:0.561124:0.411237:0.544655:0.392684:0.544655:0.000000:0.000000:0.000000
ah :@0.108233:0.578475:0.130638:0.578475:0.130638:0.562006:0.108233:0.562006:0.000000:0.000000:0.000000
también lo es. Entonces: –:@0.130638:0.578359:0.294710:0.576990:0.294710:0.560492:0.130638:0.561861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.180670:0.508798:0.204116:0.508798:0.204116:0.492329:0.180670:0.492329:0.000000:0.000000:0.000000
0:@0.205013:0.510901:0.209931:0.510901:0.209931:0.501352:0.205013:0.501352:0.000000
+:@0.213390:0.509318:0.223966:0.509318:0.223966:0.493037:0.213390:0.493037:0.000000
h:@0.226105:0.508798:0.235506:0.508798:0.235506:0.492329:0.226105:0.492329:0.000000
(:@0.188784:0.512351:0.195199:0.512351:0.195199:0.490860:0.188784:0.490860:0.000000
) ( ):@0.235637:0.512351:0.286073:0.512351:0.286073:0.490860:0.235637:0.490860:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.243911:0.508682:0.254410:0.508682:0.254410:0.492184:0.243911:0.492184:0.000000
x:@0.264062:0.508798:0.271537:0.508798:0.271537:0.492329:0.264062:0.492329:0.000000
0:@0.272442:0.510901:0.277359:0.510901:0.277359:0.501352:0.272442:0.501352:0.000000
h f x:@0.227158:0.530368:0.251326:0.528268:0.251326:0.511799:0.227158:0.513899:0.000000:0.000000:0.000000:0.000000:0.000000
f x h:@0.180671:0.557638:0.228603:0.557638:0.228603:0.541169:0.180671:0.541169:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.206487:0.558158:0.217063:0.558158:0.217063:0.541877:0.206487:0.541877:0.000000
(:@0.188784:0.561190:0.195199:0.561190:0.195199:0.539699:0.188784:0.539699:0.000000
):@0.228720:0.561190:0.235136:0.561190:0.235136:0.539699:0.228720:0.539699:0.000000
–:@0.237000:0.557521:0.247500:0.557521:0.247500:0.541023:0.237000:0.541023:0.000000
f x:@0.252856:0.557636:0.276301:0.557636:0.276301:0.541167:0.252856:0.541167:0.000000:0.000000:0.000000
( ):@0.260976:0.561190:0.283941:0.561190:0.283941:0.539699:0.260976:0.539699:0.000000:0.000000:0.000000
h f x h:@0.226111:0.579207:0.275813:0.577108:0.275813:0.560639:0.226111:0.562738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.288145:0.568377:0.298722:0.568377:0.298722:0.552096:0.288145:0.552096:0.000000
h ax b ah:@0.303230:0.557634:0.401810:0.557634:0.401810:0.541165:0.303230:0.541165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.320087:0.557518:0.328583:0.557518:0.328583:0.541020:0.320087:0.541020:0.000000
+ +:@0.347906:0.558154:0.381466:0.558154:0.381466:0.541873:0.347906:0.541873:0.000000:0.000000:0.000000
(:@0.313380:0.561190:0.319795:0.561190:0.319795:0.539699:0.313380:0.539699:0.000000
):@0.401903:0.561190:0.408319:0.561190:0.408319:0.539699:0.401903:0.539699:0.000000
h h ax b ah:@0.351126:0.579207:0.449020:0.577104:0.449020:0.560636:0.351126:0.562738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.412524:0.568377:0.423101:0.568377:0.423101:0.552096:0.412524:0.552096:0.000000
2:@0.425663:0.567741:0.434159:0.567741:0.434159:0.551243:0.425663:0.551243:0.000000
+ +:@0.453482:0.568377:0.487042:0.568377:0.487042:0.552096:0.453482:0.552096:0.000000:0.000000:0.000000
.:@0.507560:0.567741:0.510315:0.567741:0.510315:0.551243:0.507560:0.551243:0.000000
lím:@0.175504:0.616583:0.197610:0.616579:0.197610:0.600081:0.175504:0.600085:0.000000:0.000000:0.000000
h:@0.176167:0.623457:0.181609:0.623457:0.181609:0.613925:0.176167:0.613925:0.000000
0:@0.191978:0.623390:0.196896:0.623390:0.196896:0.613842:0.191978:0.613842:0.000000
f x h:@0.203390:0.606474:0.251322:0.606474:0.251322:0.590005:0.203390:0.590005:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.229205:0.606994:0.239782:0.606994:0.239782:0.590713:0.229205:0.590713:0.000000
(:@0.211505:0.610028:0.217920:0.610028:0.217920:0.588538:0.211505:0.588538:0.000000
):@0.251442:0.610028:0.257857:0.610028:0.257857:0.588538:0.251442:0.588538:0.000000
–:@0.259720:0.606358:0.270220:0.606358:0.270220:0.589860:0.259720:0.589860:0.000000
f x:@0.275575:0.606474:0.299021:0.606474:0.299021:0.590005:0.275575:0.590005:0.000000:0.000000:0.000000
( ):@0.283698:0.610028:0.306662:0.610028:0.306662:0.588538:0.283698:0.588538:0.000000:0.000000:0.000000
h f x h:@0.248831:0.628045:0.298532:0.625944:0.298532:0.609475:0.248831:0.611576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.310867:0.617210:0.321443:0.617210:0.321443:0.600929:0.310867:0.600929:0.000000
h:@0.324584:0.623457:0.330025:0.623457:0.330025:0.613925:0.324584:0.613925:0.000000
0:@0.340393:0.623390:0.345310:0.623390:0.345310:0.613842:0.340393:0.613842:0.000000
f x h:@0.351806:0.606474:0.399738:0.606474:0.399738:0.590005:0.351806:0.590005:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.377622:0.606994:0.388198:0.606994:0.388198:0.590713:0.377622:0.590713:0.000000
(:@0.359921:0.610028:0.366336:0.610028:0.366336:0.588538:0.359921:0.588538:0.000000
):@0.399858:0.610028:0.406273:0.610028:0.406273:0.588538:0.399858:0.588538:0.000000
–:@0.408136:0.606358:0.418636:0.606358:0.418636:0.589860:0.408136:0.589860:0.000000
f x:@0.423991:0.606474:0.447437:0.606474:0.447437:0.590005:0.423991:0.590005:0.000000:0.000000:0.000000
( ):@0.432112:0.610028:0.455076:0.610028:0.455076:0.588538:0.432112:0.588538:0.000000:0.000000:0.000000
=:@0.459283:0.617210:0.469860:0.617210:0.469860:0.600929:0.459283:0.600929:0.000000
2:@0.472422:0.616573:0.480918:0.616573:0.480918:0.600076:0.472422:0.600076:0.000000
ax b:@0.481592:0.616689:0.521818:0.616689:0.521818:0.600220:0.481592:0.600220:0.000000:0.000000:0.000000:0.000000
+:@0.500241:0.617210:0.510817:0.617210:0.510817:0.600929:0.500241:0.600929:0.000000
.:@0.522126:0.616573:0.524881:0.616573:0.524881:0.600076:0.522126:0.600076:0.000000
f x:@0.179166:0.665532:0.202612:0.665532:0.202612:0.649063:0.179166:0.649063:0.000000:0.000000:0.000000
( ):@0.187266:0.669083:0.210230:0.669083:0.210230:0.647592:0.187266:0.647592:0.000000:0.000000:0.000000
=:@0.212919:0.666048:0.223495:0.666048:0.223495:0.649767:0.212919:0.649767:0.000000
h:@0.226634:0.672295:0.232075:0.672295:0.232075:0.662763:0.226634:0.662763:0.000000
0:@0.242446:0.672228:0.247363:0.672228:0.247363:0.662679:0.242446:0.662679:0.000000
f x h:@0.253857:0.655312:0.301789:0.655312:0.301789:0.638843:0.253857:0.638843:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.279672:0.655833:0.290249:0.655833:0.290249:0.639552:0.279672:0.639552:0.000000
(:@0.261971:0.658867:0.268387:0.658867:0.268387:0.637376:0.261971:0.637376:0.000000
):@0.301908:0.658867:0.308324:0.658867:0.308324:0.637376:0.301908:0.637376:0.000000
–:@0.310187:0.655197:0.320686:0.655197:0.320686:0.638699:0.310187:0.638699:0.000000
f x:@0.326042:0.655312:0.349488:0.655312:0.349488:0.638843:0.326042:0.638843:0.000000:0.000000:0.000000
( ):@0.334164:0.658867:0.357128:0.658867:0.357128:0.637376:0.334164:0.637376:0.000000:0.000000:0.000000
h f:@0.299297:0.676882:0.305363:0.674783:0.305363:0.658314:0.299297:0.660414:0.000000:0.000000:0.000000
=:@0.361332:0.666053:0.371908:0.666053:0.371908:0.649772:0.361332:0.649772:0.000000
2:@0.374471:0.665416:0.382966:0.665416:0.382966:0.648919:0.374471:0.648919:0.000000
ax b:@0.383641:0.665532:0.423867:0.665532:0.423867:0.649063:0.383641:0.649063:0.000000:0.000000:0.000000:0.000000
+:@0.402290:0.666053:0.412866:0.666053:0.412866:0.649772:0.402290:0.649772:0.000000
.:@0.424175:0.665416:0.426930:0.665416:0.426930:0.648919:0.424175:0.648919:0.000000
f x:@0.179179:0.713073:0.202624:0.713073:0.202624:0.696604:0.179179:0.696604:0.000000:0.000000:0.000000
( ):@0.187266:0.716624:0.210230:0.716624:0.210230:0.695133:0.187266:0.695133:0.000000:0.000000:0.000000
=:@0.212919:0.713591:0.223495:0.713591:0.223495:0.697310:0.212919:0.697310:0.000000
–:@0.226058:0.712954:0.236557:0.712954:0.236557:0.696457:0.226058:0.696457:0.000000
5:@0.238927:0.704120:0.247423:0.704120:0.247423:0.687622:0.238927:0.687622:0.000000
2:@0.238927:0.724319:0.247423:0.724319:0.247423:0.707821:0.238927:0.707821:0.000000
x:@0.251353:0.713070:0.258828:0.713070:0.258828:0.696601:0.251353:0.696601:0.000000
2:@0.260035:0.704917:0.264952:0.704917:0.264952:0.695369:0.260035:0.695369:0.000000
+:@0.268411:0.713591:0.278988:0.713591:0.278988:0.697310:0.268411:0.697310:0.000000
0,1 ; ´:@0.281126:0.712954:0.334395:0.712954:0.334395:0.696457:0.281126:0.696457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.301856:0.713070:0.347668:0.713070:0.347668:0.696601:0.301856:0.696601:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.333430:0.716624:0.355297:0.716624:0.355297:0.695133:0.333430:0.695133:0.000000:0.000000:0.000000
=:@0.357983:0.713591:0.368559:0.713591:0.368559:0.697310:0.357983:0.697310:0.000000
–5:@0.371122:0.712954:0.390040:0.712954:0.390040:0.696457:0.371122:0.696457:0.000000:0.000000
x:@0.391023:0.713070:0.398498:0.713070:0.398498:0.696601:0.391023:0.696601:0.000000
+:@0.400867:0.713591:0.411444:0.713591:0.411444:0.697310:0.400867:0.697310:0.000000
0,1; ´:@0.413582:0.712954:0.457372:0.712954:0.457372:0.696457:0.413582:0.696457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.444946:0.713070:0.449242:0.713070:0.449242:0.696601:0.444946:0.696601:0.000000
1:@0.470030:0.704120:0.478526:0.704120:0.478526:0.687622:0.470030:0.687622:0.000000
50:@0.465001:0.724319:0.481916:0.724319:0.481916:0.707821:0.465001:0.707821:0.000000:0.000000
=:@0.493225:0.713591:0.503802:0.713591:0.503802:0.697310:0.493225:0.697310:0.000000
0.:@0.507558:0.712954:0.520417:0.712597:0.520417:0.696100:0.507558:0.696457:0.000000:0.000000
Así, :@0.108233:0.658556:0.137343:0.658556:0.137343:0.642058:0.108233:0.642058:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.252223:0.530371:0.257141:0.530371:0.257141:0.520823:0.252223:0.520823:0.000000
+:@0.260599:0.528789:0.271176:0.528789:0.271176:0.512508:0.260599:0.512508:0.000000
h:@0.273315:0.528268:0.282716:0.528268:0.282716:0.511799:0.273315:0.511799:0.000000
(:@0.235994:0.531822:0.242409:0.531822:0.242409:0.510331:0.235994:0.510331:0.000000
) ( ):@0.282847:0.531822:0.333285:0.531822:0.333285:0.510331:0.282847:0.510331:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.291121:0.528153:0.301620:0.528153:0.301620:0.511655:0.291121:0.511655:0.000000
x:@0.311272:0.528268:0.318747:0.528268:0.318747:0.511799:0.311272:0.511799:0.000000
0:@0.319652:0.530371:0.324569:0.530371:0.324569:0.520823:0.319652:0.520823:0.000000
h:@0.274368:0.549838:0.283770:0.549838:0.283770:0.533370:0.274368:0.533370:0.000000
+:@0.253697:0.577629:0.264273:0.577629:0.264273:0.561348:0.253697:0.561348:0.000000
(:@0.235994:0.580660:0.242409:0.580660:0.242409:0.559170:0.235994:0.559170:0.000000
):@0.275930:0.580660:0.282346:0.580660:0.282346:0.559170:0.275930:0.559170:0.000000
f x:@0.300066:0.577106:0.323511:0.577106:0.323511:0.560637:0.300066:0.560637:0.000000:0.000000:0.000000
( ):@0.308186:0.580660:0.331150:0.580660:0.331150:0.559170:0.308186:0.559170:0.000000:0.000000:0.000000
h:@0.273321:0.598677:0.282723:0.598677:0.282723:0.582208:0.273321:0.582208:0.000000
=:@0.335355:0.587847:0.345932:0.587847:0.345932:0.571567:0.335355:0.571567:0.000000
2:@0.367297:0.576989:0.375793:0.576989:0.375793:0.560491:0.367297:0.560491:0.000000
+ +:@0.395116:0.577625:0.428676:0.577625:0.428676:0.561344:0.395116:0.561344:0.000000:0.000000:0.000000
(:@0.360591:0.580660:0.367006:0.580660:0.367006:0.559170:0.360591:0.559170:0.000000
):@0.449115:0.580660:0.455530:0.580660:0.455530:0.559170:0.449115:0.559170:0.000000
h:@0.398336:0.598677:0.407737:0.598677:0.407737:0.582208:0.398336:0.582208:0.000000
=:@0.459754:0.587847:0.470330:0.587847:0.470330:0.571567:0.459754:0.571567:0.000000
2:@0.472893:0.587211:0.481389:0.587211:0.481389:0.570713:0.472893:0.570713:0.000000
ax b ah:@0.482063:0.587327:0.554616:0.587327:0.554616:0.570858:0.482063:0.570858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.500712:0.587847:0.534272:0.587847:0.534272:0.571567:0.500712:0.571567:0.000000:0.000000:0.000000
.:@0.554789:0.587211:0.557544:0.587211:0.557544:0.570713:0.554789:0.570713:0.000000
lím:@0.222733:0.636053:0.244830:0.636053:0.244830:0.619556:0.222733:0.619556:0.000000:0.000000:0.000000
h:@0.223377:0.642927:0.228819:0.642927:0.228819:0.633395:0.223377:0.633395:0.000000
0:@0.239189:0.642860:0.244107:0.642860:0.244107:0.633311:0.239189:0.633311:0.000000
+:@0.276415:0.626465:0.286992:0.626465:0.286992:0.610184:0.276415:0.610184:0.000000
(:@0.258715:0.629499:0.265130:0.629499:0.265130:0.608008:0.258715:0.608008:0.000000
):@0.298652:0.629499:0.305067:0.629499:0.305067:0.608008:0.298652:0.608008:0.000000
–:@0.306930:0.625828:0.317429:0.625828:0.317429:0.609331:0.306930:0.609331:0.000000
f x:@0.322785:0.625944:0.346231:0.625944:0.346231:0.609475:0.322785:0.609475:0.000000:0.000000:0.000000
( ):@0.330908:0.629499:0.353872:0.629499:0.353872:0.608008:0.330908:0.608008:0.000000:0.000000:0.000000
h:@0.296041:0.647514:0.305442:0.647514:0.305442:0.631046:0.296041:0.631046:0.000000
=:@0.358075:0.636685:0.368652:0.636685:0.368652:0.620404:0.358075:0.620404:0.000000
lím:@0.371118:0.636048:0.393215:0.636048:0.393215:0.619551:0.371118:0.619551:0.000000:0.000000:0.000000
h:@0.371793:0.642927:0.377235:0.642927:0.377235:0.633395:0.371793:0.633395:0.000000
0:@0.387605:0.642860:0.392523:0.642860:0.392523:0.633311:0.387605:0.633311:0.000000
+:@0.424832:0.626465:0.435408:0.626465:0.435408:0.610184:0.424832:0.610184:0.000000
(:@0.407131:0.629499:0.413546:0.629499:0.413546:0.608008:0.407131:0.608008:0.000000
):@0.447068:0.629499:0.453483:0.629499:0.453483:0.608008:0.447068:0.608008:0.000000
–:@0.455346:0.625828:0.465846:0.625828:0.465846:0.609331:0.455346:0.609331:0.000000
f x:@0.471201:0.625944:0.494647:0.625944:0.494647:0.609475:0.471201:0.609475:0.000000:0.000000:0.000000
( ):@0.479322:0.629499:0.502286:0.629499:0.502286:0.608008:0.479322:0.608008:0.000000:0.000000:0.000000
h:@0.444457:0.647514:0.453858:0.647514:0.453858:0.631046:0.444457:0.631046:0.000000
=:@0.506491:0.636685:0.517068:0.636685:0.517068:0.620404:0.506491:0.620404:0.000000
2:@0.519630:0.636048:0.528126:0.636048:0.528126:0.619551:0.519630:0.619551:0.000000
ax b:@0.528800:0.636164:0.569026:0.636164:0.569026:0.619695:0.528800:0.619695:0.000000:0.000000:0.000000:0.000000
+:@0.547449:0.636685:0.558026:0.636685:0.558026:0.620404:0.547449:0.620404:0.000000
.:@0.569334:0.636048:0.572089:0.636048:0.572089:0.619551:0.569334:0.619551:0.000000
f x:@0.226376:0.685002:0.249822:0.685002:0.249822:0.668533:0.226376:0.668533:0.000000:0.000000:0.000000
( ):@0.234476:0.688552:0.257440:0.688552:0.257440:0.667061:0.234476:0.667061:0.000000:0.000000:0.000000
=:@0.260129:0.685519:0.270705:0.685519:0.270705:0.669238:0.260129:0.669238:0.000000
lím:@0.273171:0.684883:0.295269:0.684883:0.295269:0.668385:0.273171:0.668385:0.000000:0.000000:0.000000
h:@0.273844:0.691765:0.279285:0.691765:0.279285:0.682233:0.273844:0.682233:0.000000
0:@0.289655:0.691698:0.294572:0.691698:0.294572:0.682149:0.289655:0.682149:0.000000
+:@0.326882:0.675303:0.337459:0.675303:0.337459:0.659022:0.326882:0.659022:0.000000
(:@0.309181:0.678336:0.315597:0.678336:0.315597:0.656846:0.309181:0.656846:0.000000
–:@0.357396:0.674667:0.367896:0.674667:0.367896:0.658169:0.357396:0.658169:0.000000
( ):@0.381374:0.678336:0.404338:0.678336:0.404338:0.656846:0.381374:0.656846:0.000000:0.000000:0.000000
h:@0.346507:0.696353:0.355909:0.696353:0.355909:0.679884:0.346507:0.679884:0.000000
=:@0.408545:0.685519:0.419122:0.685519:0.419122:0.669238:0.408545:0.669238:0.000000
2:@0.421684:0.684883:0.430180:0.684883:0.430180:0.668385:0.421684:0.668385:0.000000
ax b:@0.430854:0.684998:0.471080:0.684998:0.471080:0.668530:0.430854:0.668530:0.000000:0.000000:0.000000:0.000000
+:@0.449503:0.685519:0.460079:0.685519:0.460079:0.669238:0.449503:0.669238:0.000000
f x:@0.226391:0.732539:0.249837:0.732539:0.249837:0.716071:0.226391:0.716071:0.000000:0.000000:0.000000
( ):@0.234476:0.736094:0.257440:0.736094:0.257440:0.714603:0.234476:0.714603:0.000000:0.000000:0.000000
=:@0.260129:0.733060:0.270705:0.733060:0.270705:0.716779:0.260129:0.716779:0.000000
–:@0.273268:0.732424:0.283767:0.732424:0.283767:0.715926:0.273268:0.715926:0.000000
5 2:@0.286137:0.723589:0.284737:0.724621:0.284737:0.708123:0.286137:0.707092:0.000000:0.000000:0.000000
2:@0.286137:0.743788:0.294633:0.743788:0.294633:0.727291:0.286137:0.727291:0.000000
x:@0.298563:0.732539:0.306038:0.732539:0.306038:0.716071:0.298563:0.716071:0.000000
2:@0.307245:0.724388:0.312162:0.724388:0.312162:0.714839:0.307245:0.714839:0.000000
+:@0.315621:0.733060:0.326198:0.733060:0.326198:0.716779:0.315621:0.716779:0.000000
0,1 ; ´ 2:@0.328336:0.732424:0.390313:0.734843:0.390313:0.718346:0.328336:0.715926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x ax b ah:@0.349066:0.732539:0.463541:0.734959:0.463541:0.718490:0.349066:0.716071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.380640:0.736094:0.402506:0.736094:0.402506:0.714603:0.380640:0.714603:0.000000:0.000000:0.000000
= + +:@0.405194:0.733060:0.443196:0.735480:0.443196:0.719199:0.405194:0.716779:0.000000:0.000000:0.000000:0.000000:0.000000
–5:@0.418333:0.732424:0.437252:0.732424:0.437252:0.715926:0.418333:0.715926:0.000000:0.000000
x:@0.438234:0.732539:0.445709:0.732539:0.445709:0.716071:0.438234:0.716071:0.000000
+:@0.448079:0.733060:0.458656:0.733060:0.458656:0.716779:0.448079:0.716779:0.000000
0,1; ´:@0.460794:0.732424:0.504584:0.732424:0.504584:0.715926:0.460794:0.715926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.492158:0.732539:0.496454:0.732539:0.496454:0.716071:0.492158:0.716071:0.000000
1:@0.517241:0.723589:0.525737:0.723589:0.525737:0.707092:0.517241:0.707092:0.000000
50:@0.512213:0.743788:0.529128:0.743788:0.529128:0.727291:0.512213:0.727291:0.000000:0.000000
=:@0.540437:0.733060:0.551013:0.733060:0.551013:0.716779:0.540437:0.716779:0.000000
0.:@0.554770:0.732424:0.567626:0.732068:0.567626:0.715570:0.554770:0.715926:0.000000:0.000000
Conclusión  :@0.108233:0.735816:0.205522:0.735816:0.205522:0.718870:0.108233:0.718870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ( ) :@0.194715:0.735353:0.237483:0.735353:0.237483:0.718856:0.194715:0.718856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x = ax:@0.205522:0.735469:0.268982:0.735469:0.268982:0.719000:0.205522:0.719000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.268979:0.729000:0.273932:0.729000:0.273932:0.719382:0.268979:0.719382:0.000000
+ :@0.273931:0.735353:0.288881:0.735353:0.288881:0.718856:0.273931:0.718856:0.000000:0.000000
bx  c,:@0.288881:0.735469:0.334906:0.735469:0.334906:0.719000:0.288881:0.719000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+            ,     :@0.309764:0.735353:0.433618:0.735353:0.433618:0.718856:0.309764:0.718856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.366749:0.735469:0.374224:0.735469:0.374224:0.719000:0.366749:0.719000:0.000000
∈:@0.378366:0.735903:0.392102:0.735903:0.392102:0.717063:0.378366:0.717063:0.000000
R:@0.396244:0.734384:0.410153:0.734384:0.410153:0.720938:0.396244:0.720938:0.000000
f’ (x) :@0.433618:0.735469:0.468681:0.735469:0.468681:0.719000:0.433618:0.719000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 2:@0.468681:0.735353:0.492127:0.735353:0.492127:0.718856:0.468681:0.718856:0.000000:0.000000:0.000000
ax + :@0.492127:0.735469:0.527766:0.735469:0.527766:0.719000:0.492127:0.719000:0.000000:0.000000:0.000000:0.000000:0.000000
b.:@0.527766:0.735353:0.539806:0.735353:0.539806:0.718856:0.527766:0.718856:0.000000:0.000000
Ejercicios resueltos:@0.108228:0.770431:0.238883:0.770431:0.238883:0.753644:0.108228:0.753644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108228:0.796674:0.120500:0.796674:0.120500:0.779959:0.108228:0.779959:0.000000:0.000000
 :@0.120501:0.796919:0.124527:0.796919:0.124527:0.779974:0.120501:0.779974:0.000000
f  x = x h:@0.131963:0.796572:0.214386:0.795148:0.214386:0.778679:0.131963:0.780104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.140401:0.796457:0.163924:0.796457:0.163924:0.779959:0.140401:0.779959:0.000000:0.000000:0.000000:0.000000
2:@0.186438:0.790106:0.191391:0.790106:0.191391:0.780488:0.186438:0.780488:0.000000
,       ,   :@0.191390:0.796458:0.272150:0.796458:0.272150:0.779960:0.191390:0.779960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.213564:0.796574:0.221039:0.796574:0.221039:0.780105:0.213564:0.780105:0.000000
∈:@0.225181:0.797007:0.238917:0.797007:0.238917:0.778167:0.225181:0.778167:0.000000
R:@0.243060:0.795489:0.256969:0.795489:0.256969:0.782042:0.243060:0.782042:0.000000
f’ (x) :@0.272150:0.796574:0.307213:0.796574:0.307213:0.780105:0.272150:0.780105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 2:@0.307213:0.796458:0.330659:0.796458:0.330659:0.779960:0.307213:0.779960:0.000000:0.000000:0.000000
x.   h:@0.330659:0.796574:0.362802:0.795148:0.362802:0.778679:0.330659:0.780105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para   = –1, se tiene   –1 = –2.:@0.353525:0.796458:0.586307:0.796458:0.586307:0.779960:0.353525:0.779960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388009:0.796574:0.395484:0.796574:0.395484:0.780105:0.388009:0.780105:0.000000
f’ ( ) :@0.503023:0.796574:0.549606:0.796574:0.549606:0.780105:0.503023:0.780105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.108241:0.823077:0.120513:0.823077:0.120513:0.806362:0.108241:0.806362:0.000000:0.000000
 :@0.120513:0.823323:0.124539:0.823323:0.124539:0.806377:0.120513:0.806377:0.000000
f  x =  x f x h:@0.131976:0.822976:0.257943:0.822415:0.257943:0.805946:0.131976:0.806507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  10  –3 + 1, –:@0.139644:0.822860:0.276840:0.822299:0.276840:0.805802:0.139644:0.806362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.199192:0.816510:0.204145:0.816510:0.204145:0.806892:0.199192:0.806892:0.000000
x :@0.225901:0.822977:0.237133:0.822977:0.237133:0.806508:0.225901:0.806508:0.000000:0.000000
   x f x:@0.265934:0.822977:0.305642:0.822415:0.305642:0.805946:0.265934:0.806508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    ,   :@0.291286:0.822861:0.339699:0.822861:0.339699:0.806364:0.291286:0.806364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.295043:0.823411:0.308779:0.823411:0.308779:0.804571:0.295043:0.804571:0.000000
R:@0.312150:0.821893:0.326059:0.821893:0.326059:0.808446:0.312150:0.808446:0.000000
f’ (x) :@0.339314:0.822977:0.372065:0.822977:0.372065:0.806508:0.339314:0.806508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 20 – 3 Para   = 0,4;   (0,4)  5.:@0.371680:0.822861:0.593461:0.822861:0.593461:0.806364:0.371680:0.806364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.402080:0.822977:0.413312:0.822977:0.413312:0.806508:0.402080:0.806508:0.000000:0.000000
. :@0.434908:0.822977:0.441516:0.822977:0.441516:0.806508:0.434908:0.806508:0.000000:0.000000
x:@0.473689:0.822977:0.481164:0.822977:0.481164:0.806508:0.473689:0.806508:0.000000
f :@0.527189:0.822977:0.535242:0.822977:0.535242:0.806508:0.527189:0.806508:0.000000:0.000000
= :@0.568339:0.822977:0.582981:0.822977:0.582981:0.806508:0.568339:0.806508:0.000000:0.000000
3.:@0.108246:0.849480:0.120518:0.849480:0.120518:0.832766:0.108246:0.832766:0.000000:0.000000
 :@0.120519:0.849726:0.124546:0.849726:0.124546:0.832780:0.120519:0.832780:0.000000
f  x =   x + 9    x:@0.131981:0.849379:0.275559:0.849380:0.275559:0.832912:0.131981:0.832910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  –7  :@0.140419:0.849263:0.218671:0.849265:0.218671:0.832767:0.140419:0.832766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.209575:0.842913:0.214528:0.842913:0.214528:0.833295:0.209575:0.833295:0.000000
, :@0.241770:0.849265:0.248667:0.849265:0.248667:0.832767:0.241770:0.832767:0.000000:0.000000
    ,   :@0.275559:0.849265:0.326669:0.849265:0.326669:0.832767:0.275559:0.832767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.279701:0.849814:0.293437:0.849814:0.293437:0.830974:0.279701:0.830974:0.000000
R:@0.297579:0.848296:0.311488:0.848296:0.311488:0.834849:0.297579:0.834849:0.000000
f’ (x) :@0.326669:0.849380:0.361732:0.849380:0.361732:0.832912:0.326669:0.832912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= –14:@0.361732:0.849265:0.404173:0.849265:0.404173:0.832767:0.361732:0.832767:0.000000:0.000000:0.000000:0.000000:0.000000
x,   f’ ( ) :@0.404173:0.849380:0.463123:0.849380:0.463123:0.832912:0.404173:0.832912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 = 0.:@0.445052:0.849265:0.489324:0.849265:0.489324:0.832767:0.445052:0.832767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.108240:0.879455:0.120512:0.879455:0.120512:0.862740:0.108240:0.862740:0.000000:0.000000
 :@0.120513:0.879701:0.124539:0.879701:0.124539:0.862756:0.120513:0.862756:0.000000
f x:@0.136824:0.675900:0.160270:0.675900:0.160270:0.659432:0.136824:0.659432:0.000000:0.000000:0.000000
0:@0.161167:0.678004:0.166085:0.678004:0.166085:0.668455:0.161167:0.668455:0.000000
+:@0.169543:0.676421:0.180120:0.676421:0.180120:0.660140:0.169543:0.660140:0.000000
(:@0.144938:0.679455:0.151353:0.679455:0.151353:0.657965:0.144938:0.657965:0.000000
–:@0.200065:0.675785:0.210564:0.675785:0.210564:0.659287:0.200065:0.659287:0.000000
x:@0.220216:0.675900:0.227691:0.675900:0.227691:0.659432:0.220216:0.659432:0.000000
0:@0.228596:0.678004:0.233513:0.678004:0.233513:0.668455:0.228596:0.668455:0.000000
h:@0.183312:0.697471:0.192714:0.697471:0.192714:0.681002:0.183312:0.681002:0.000000
f x h:@0.136825:0.724740:0.184757:0.724740:0.184757:0.708272:0.136825:0.708272:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.162641:0.725261:0.173217:0.725261:0.173217:0.708980:0.162641:0.708980:0.000000
(:@0.144938:0.728293:0.151353:0.728293:0.151353:0.706802:0.144938:0.706802:0.000000
):@0.184874:0.728293:0.191290:0.728293:0.191290:0.706802:0.184874:0.706802:0.000000
–:@0.193154:0.724623:0.203654:0.724623:0.203654:0.708126:0.193154:0.708126:0.000000
f x:@0.209010:0.724739:0.232455:0.724739:0.232455:0.708270:0.209010:0.708270:0.000000:0.000000:0.000000
( ):@0.217130:0.728293:0.240095:0.728293:0.240095:0.706802:0.217130:0.706802:0.000000:0.000000:0.000000
h:@0.182265:0.746309:0.191667:0.746309:0.191667:0.729841:0.182265:0.729841:0.000000
=:@0.244299:0.735480:0.254876:0.735480:0.254876:0.719199:0.244299:0.719199:0.000000
h ax b ah:@0.259384:0.724737:0.357964:0.724737:0.357964:0.708268:0.259384:0.708268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.304060:0.725257:0.337620:0.725257:0.337620:0.708976:0.304060:0.708976:0.000000:0.000000:0.000000
(:@0.269534:0.728293:0.275949:0.728293:0.275949:0.706802:0.269534:0.706802:0.000000
):@0.358057:0.728293:0.364473:0.728293:0.364473:0.706802:0.358057:0.706802:0.000000
h:@0.307280:0.746309:0.316681:0.746309:0.316681:0.729841:0.307280:0.729841:0.000000
=:@0.368678:0.735480:0.379255:0.735480:0.379255:0.719199:0.368678:0.719199:0.000000
.:@0.463714:0.734843:0.466469:0.734843:0.466469:0.718346:0.463714:0.718346:0.000000
lím:@0.131658:0.783686:0.153755:0.783686:0.153755:0.767188:0.131658:0.767188:0.000000:0.000000:0.000000
h:@0.132321:0.790560:0.137763:0.790560:0.137763:0.781028:0.132321:0.781028:0.000000
0:@0.148133:0.790493:0.153051:0.790493:0.153051:0.780944:0.148133:0.780944:0.000000
f x h:@0.159544:0.773578:0.207476:0.773578:0.207476:0.757109:0.159544:0.757109:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.185359:0.774098:0.195936:0.774098:0.195936:0.757817:0.185359:0.757817:0.000000
(:@0.167659:0.777131:0.174074:0.777131:0.174074:0.755641:0.167659:0.755641:0.000000
):@0.207596:0.777131:0.214011:0.777131:0.214011:0.755641:0.207596:0.755641:0.000000
–:@0.215874:0.773462:0.226373:0.773462:0.226373:0.756964:0.215874:0.756964:0.000000
f x:@0.231729:0.773578:0.255175:0.773578:0.255175:0.757109:0.231729:0.757109:0.000000:0.000000:0.000000
( ):@0.239852:0.777131:0.262816:0.777131:0.262816:0.755641:0.239852:0.755641:0.000000:0.000000:0.000000
=:@0.267019:0.784318:0.277596:0.784318:0.277596:0.768037:0.267019:0.768037:0.000000
lím:@0.280062:0.783682:0.302159:0.783682:0.302159:0.767184:0.280062:0.767184:0.000000:0.000000:0.000000
h:@0.280738:0.790560:0.286179:0.790560:0.286179:0.781028:0.280738:0.781028:0.000000
0:@0.296549:0.790493:0.301467:0.790493:0.301467:0.780944:0.296549:0.780944:0.000000
f x h:@0.307960:0.773578:0.355892:0.773578:0.355892:0.757109:0.307960:0.757109:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.333776:0.774098:0.344352:0.774098:0.344352:0.757817:0.333776:0.757817:0.000000
(:@0.316075:0.777131:0.322490:0.777131:0.322490:0.755641:0.316075:0.755641:0.000000
):@0.356012:0.777131:0.362427:0.777131:0.362427:0.755641:0.356012:0.755641:0.000000
–:@0.364290:0.773462:0.374790:0.773462:0.374790:0.756964:0.364290:0.756964:0.000000
f x:@0.380145:0.773578:0.403591:0.773578:0.403591:0.757109:0.380145:0.757109:0.000000:0.000000:0.000000
( ):@0.388266:0.777131:0.411230:0.777131:0.411230:0.755641:0.388266:0.755641:0.000000:0.000000:0.000000
=:@0.415435:0.784318:0.426012:0.784318:0.426012:0.768037:0.415435:0.768037:0.000000
2:@0.428574:0.783682:0.437070:0.783682:0.437070:0.767184:0.428574:0.767184:0.000000
ax b:@0.437744:0.783798:0.477970:0.783798:0.477970:0.767329:0.437744:0.767329:0.000000:0.000000:0.000000:0.000000
+:@0.456393:0.784318:0.466970:0.784318:0.466970:0.768037:0.456393:0.768037:0.000000
.:@0.478278:0.783682:0.481033:0.783682:0.481033:0.767184:0.478278:0.767184:0.000000
f x:@0.135318:0.832640:0.158764:0.832640:0.158764:0.816171:0.135318:0.816171:0.000000:0.000000:0.000000
( ):@0.143420:0.836185:0.166384:0.836185:0.166384:0.814695:0.143420:0.814695:0.000000:0.000000:0.000000
=:@0.169073:0.833151:0.179649:0.833151:0.179649:0.816870:0.169073:0.816870:0.000000
lím:@0.182115:0.832515:0.204213:0.832515:0.204213:0.816017:0.182115:0.816017:0.000000:0.000000:0.000000
h:@0.182788:0.839399:0.188229:0.839399:0.188229:0.829867:0.182788:0.829867:0.000000
0:@0.198600:0.839332:0.203517:0.839332:0.203517:0.829783:0.198600:0.829783:0.000000
+:@0.235826:0.822936:0.246403:0.822936:0.246403:0.806655:0.235826:0.806655:0.000000
(:@0.218125:0.825970:0.224541:0.825970:0.224541:0.804479:0.218125:0.804479:0.000000
):@0.258062:0.825970:0.264478:0.825970:0.264478:0.804479:0.258062:0.804479:0.000000
( ):@0.290318:0.825970:0.313282:0.825970:0.313282:0.804479:0.290318:0.804479:0.000000:0.000000:0.000000
h:@0.255451:0.843987:0.264853:0.843987:0.264853:0.827518:0.255451:0.827518:0.000000
=:@0.317486:0.833157:0.328062:0.833157:0.328062:0.816876:0.317486:0.816876:0.000000
2:@0.330624:0.832521:0.339120:0.832521:0.339120:0.816023:0.330624:0.816023:0.000000
ax b:@0.339795:0.832636:0.380021:0.832636:0.380021:0.816168:0.339795:0.816168:0.000000:0.000000:0.000000:0.000000
+:@0.358444:0.833157:0.369020:0.833157:0.369020:0.816876:0.358444:0.816876:0.000000
.:@0.380329:0.832521:0.383084:0.832521:0.383084:0.816023:0.380329:0.816023:0.000000
f x:@0.135335:0.880172:0.158781:0.880172:0.158781:0.863703:0.135335:0.863703:0.000000:0.000000:0.000000
( ):@0.143420:0.883726:0.166384:0.883726:0.166384:0.862236:0.143420:0.862236:0.000000:0.000000:0.000000
=:@0.169073:0.880693:0.179649:0.880693:0.179649:0.864413:0.169073:0.864413:0.000000
–:@0.182212:0.880057:0.192711:0.880057:0.192711:0.863560:0.182212:0.863560:0.000000
5:@0.195081:0.871223:0.203577:0.871223:0.203577:0.854725:0.195081:0.854725:0.000000
2:@0.195081:0.891422:0.203577:0.891422:0.203577:0.874924:0.195081:0.874924:0.000000
x:@0.207498:0.880173:0.214973:0.880173:0.214973:0.863704:0.207498:0.863704:0.000000
2:@0.216189:0.872022:0.221106:0.872022:0.221106:0.862473:0.216189:0.862473:0.000000
+:@0.224565:0.880693:0.235142:0.880693:0.235142:0.864413:0.224565:0.864413:0.000000
0,1 ; ´:@0.237280:0.880057:0.290549:0.880057:0.290549:0.863560:0.237280:0.863560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.258010:0.880173:0.303822:0.880173:0.303822:0.863704:0.258010:0.863704:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.289584:0.883726:0.311451:0.883726:0.311451:0.862236:0.289584:0.862236:0.000000:0.000000:0.000000
=:@0.314137:0.880693:0.324713:0.880693:0.324713:0.864413:0.314137:0.864413:0.000000
–5:@0.327276:0.880057:0.346194:0.880057:0.346194:0.863560:0.327276:0.863560:0.000000:0.000000
x:@0.347177:0.880173:0.354652:0.880173:0.354652:0.863704:0.347177:0.863704:0.000000
+:@0.357021:0.880693:0.367598:0.880693:0.367598:0.864413:0.357021:0.864413:0.000000
0,1; ´:@0.369736:0.880057:0.413526:0.880057:0.413526:0.863560:0.369736:0.863560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.401100:0.880173:0.405396:0.880173:0.405396:0.863704:0.401100:0.863704:0.000000
1:@0.426183:0.871223:0.434679:0.871223:0.434679:0.854725:0.426183:0.854725:0.000000
50:@0.421155:0.891422:0.438070:0.891422:0.438070:0.874924:0.421155:0.874924:0.000000:0.000000
=:@0.449370:0.880693:0.459947:0.880693:0.459947:0.864413:0.449370:0.864413:0.000000
0.:@0.463704:0.880057:0.476571:0.879701:0.476571:0.863204:0.463704:0.863560:0.000000:0.000000
Competencia digital:@0.684804:0.455726:0.827156:0.455726:0.827156:0.440253:0.684804:0.440253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer más sobre :@0.685042:0.484353:0.843262:0.484353:0.843262:0.469290:0.685042:0.469290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivadas, :@0.638498:0.500195:0.706255:0.500195:0.706255:0.485132:0.638498:0.485132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita:@0.706255:0.500618:0.743440:0.500618:0.743440:0.485145:0.706255:0.485145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente :@0.743440:0.500195:0.822965:0.500195:0.822965:0.485132:0.743440:0.485132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
página: :@0.638498:0.516037:0.688014:0.516037:0.688014:0.500974:0.638498:0.500974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11m11:@0.688014:0.516367:0.785903:0.516367:0.785903:0.501053:0.688014:0.501053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.104916:0.782426:0.104916:0.782426:0.089444:0.684804:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.117484:0.796762:0.117484:0.796762:0.102012:0.684804:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada de la función :@0.678232:0.142380:0.840092:0.142380:0.840092:0.126908:0.678232:0.126908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante:@0.638496:0.158222:0.708168:0.158222:0.708168:0.142750:0.638496:0.142750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean       y   la función real :@0.638496:0.173641:0.833833:0.173641:0.833833:0.158578:0.638496:0.158578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.673007:0.173747:0.681468:0.173747:0.681468:0.158710:0.673007:0.158710:0.000000
:@0.685250:0.173443:0.699903:0.173443:0.699903:0.160070:0.685250:0.160070:0.000000
R:@0.703684:0.172757:0.716384:0.172757:0.716384:0.160479:0.703684:0.160479:0.000000
f:@0.731090:0.173747:0.735012:0.173747:0.735012:0.158710:0.731090:0.158710:0.000000
definida como:@0.638496:0.189483:0.733410:0.189483:0.733410:0.174420:0.638496:0.174420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x) = b,   x :@0.638496:0.205431:0.721053:0.205431:0.721053:0.190394:0.638496:0.190394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706049:0.205827:0.710447:0.205827:0.710447:0.188625:0.706049:0.188625:0.000000
:@0.721053:0.205127:0.735706:0.205127:0.735706:0.191754:0.721053:0.191754:0.000000
 :@0.735706:0.205325:0.739488:0.205325:0.739488:0.190262:0.735706:0.190262:0.000000
R:@0.739488:0.204441:0.752188:0.204441:0.752188:0.192163:0.739488:0.192163:0.000000
,:@0.752188:0.205431:0.754791:0.205431:0.754791:0.190394:0.752188:0.190394:0.000000
f ' (x) = 0,   x :@0.638503:0.221273:0.730023:0.221273:0.730023:0.206236:0.638503:0.206236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.715018:0.221669:0.719416:0.221669:0.719416:0.204467:0.715018:0.204467:0.000000
:@0.730023:0.220969:0.744675:0.220969:0.744675:0.207596:0.730023:0.207596:0.000000
 :@0.744675:0.221167:0.748457:0.221167:0.748457:0.206104:0.744675:0.206104:0.000000
R:@0.748457:0.220283:0.761157:0.220283:0.761157:0.208005:0.748457:0.208005:0.000000
.:@0.761157:0.221273:0.763760:0.221273:0.763760:0.206236:0.761157:0.206236:0.000000
Derivada de la función afín:@0.638502:0.260403:0.827380:0.260403:0.827380:0.244930:0.638502:0.244930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean a,       con     0. La :@0.638502:0.275822:0.820769:0.275822:0.820769:0.260759:0.638502:0.260759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.686874:0.275928:0.695335:0.275928:0.695335:0.260891:0.686874:0.260891:0.000000
:@0.699117:0.275624:0.713769:0.275624:0.713769:0.262251:0.699117:0.262251:0.000000
R:@0.717551:0.274938:0.730251:0.274938:0.730251:0.262660:0.717551:0.262660:0.000000
a ≠:@0.762423:0.275928:0.784341:0.275928:0.784341:0.260891:0.762423:0.260891:0.000000:0.000000:0.000000
función afín está definida como:@0.638502:0.291664:0.844847:0.291664:0.844847:0.276601:0.638502:0.276601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x) = ax + b,    x :@0.638502:0.307612:0.757376:0.307612:0.757376:0.292575:0.638502:0.292575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.742372:0.308008:0.746769:0.308008:0.746769:0.290806:0.742372:0.290806:0.000000
:@0.757376:0.307308:0.772028:0.307308:0.772028:0.293935:0.757376:0.293935:0.000000
 :@0.772028:0.307506:0.775810:0.307506:0.775810:0.292443:0.772028:0.292443:0.000000
R:@0.775810:0.306622:0.788510:0.306622:0.788510:0.294344:0.775810:0.294344:0.000000
. :@0.788510:0.307612:0.794895:0.307612:0.794895:0.292575:0.788510:0.292575:0.000000:0.000000
df:@0.707971:0.325801:0.722262:0.325801:0.722262:0.307835:0.707971:0.307835:0.000000:0.000000
dx:@0.707298:0.347837:0.725057:0.347837:0.725057:0.329871:0.707298:0.329871:0.000000:0.000000
x:@0.736811:0.335617:0.744966:0.335617:0.744966:0.317651:0.736811:0.317651:0.000000
( ):@0.727388:0.337032:0.754016:0.337032:0.754016:0.314451:0.727388:0.314451:0.000000:0.000000:0.000000
= .:@0.753830:0.335491:0.779681:0.335491:0.779681:0.317493:0.753830:0.317493:0.000000:0.000000:0.000000
a:@0.766671:0.335617:0.776465:0.335617:0.776465:0.317651:0.766671:0.317651:0.000000
Competencia :@0.684804:0.746951:0.782426:0.746951:0.782426:0.731478:0.684804:0.731478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.759519:0.796762:0.759519:0.796762:0.744046:0.684804:0.744046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El término ‘cociente’ se :@0.678232:0.783993:0.830700:0.783993:0.830700:0.768930:0.678232:0.768930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origina en el latín quotiens, :@0.638496:0.799835:0.815854:0.799835:0.815854:0.784772:0.638496:0.784772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y significa “cuántos, cuantas :@0.638496:0.815677:0.821448:0.815677:0.821448:0.800614:0.638496:0.800614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces”. En efecto, el cociente :@0.638496:0.831519:0.824364:0.831519:0.824364:0.816456:0.638496:0.816456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica en una división cuántas :@0.638496:0.847361:0.837210:0.847361:0.837210:0.832298:0.638496:0.832298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces está contenido el divisor :@0.638496:0.863203:0.839003:0.863203:0.839003:0.848140:0.638496:0.848140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el dividendo.:@0.638496:0.879045:0.740798:0.879045:0.740798:0.863982:0.638496:0.863982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000