﻿54:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.744746:0.236739:0.744746:0.236739:0.710799:0.175844:0.710799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De manera intuitiva halla un límite y la derivada. (Ref. I.M.5.3.2.):@0.256865:0.732773:0.546967:0.732773:0.546967:0.722343:0.256865:0.722343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.785983:0.133950:0.785983:0.133950:0.768847:0.115209:0.768847:0.000000:0.000000:0.000000
Considera:@0.148452:0.785983:0.225332:0.785983:0.225332:0.769359:0.148452:0.769359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las funciones definidas en cada literal. :@0.225332:0.785983:0.509542:0.785983:0.509542:0.769594:0.225332:0.769594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula:@0.509726:0.785983:0.565157:0.785983:0.565157:0.769359:0.509726:0.769359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cociente incremental en cada punto, así :@0.565157:0.785983:0.883973:0.785983:0.883973:0.769594:0.565157:0.769594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como cada cociente en los puntos::@0.148452:0.802579:0.404648:0.802579:0.404648:0.786190:0.148452:0.786190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.826298:0.118931:0.826298:0.118931:0.809162:0.115209:0.809162:0.000000
h:@0.148452:0.826298:0.157961:0.826298:0.157961:0.809937:0.148452:0.809937:0.000000
 = – 0,0001 :@0.157961:0.826298:0.242470:0.826298:0.242470:0.809909:0.157961:0.809909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.296131:0.826298:0.305640:0.826298:0.305640:0.809937:0.296131:0.809937:0.000000
 = 0,0001:@0.305640:0.826298:0.372864:0.826298:0.372864:0.809909:0.305640:0.809909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A) :@0.148452:0.856670:0.169276:0.856670:0.169276:0.839769:0.148452:0.839769:0.000000:0.000000:0.000000
():@0.193104:0.861961:0.216304:0.861961:0.216304:0.842028:0.193104:0.842028:0.000000:0.000000
=:@0.218965:0.859507:0.229081:0.859507:0.229081:0.843934:0.218965:0.843934:0.000000
+:@0.256557:0.859507:0.266674:0.859507:0.266674:0.843934:0.256557:0.843934:0.000000
fx:@0.184302:0.858830:0.208461:0.858830:0.208461:0.842468:0.184302:0.842468:0.000000:0.000000
x:@0.245978:0.858830:0.253441:0.858830:0.253441:0.842468:0.245978:0.842468:0.000000
x:@0.278540:0.858830:0.286003:0.858830:0.286003:0.842468:0.278540:0.842468:0.000000
1:@0.233884:0.850304:0.242877:0.850304:0.242877:0.833915:0.233884:0.833915:0.000000
2:@0.233100:0.869753:0.242093:0.869753:0.242093:0.853364:0.233100:0.853364:0.000000
3:@0.268699:0.858830:0.277692:0.858830:0.277692:0.842441:0.268699:0.842441:0.000000
2:@0.287650:0.851167:0.292861:0.851167:0.292861:0.841669:0.287650:0.841669:0.000000
El trabajo realizado por Leibniz, que buscaba un método general para hallar la tangente a una curva  :@0.115209:0.167757:0.883936:0.167757:0.883936:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dio origen a la noción de la derivada, como el cociente incremental o el cociente de diferencias de una :@0.115209:0.184353:0.883805:0.184353:0.883805:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función, descrito de la siguiente manera::@0.115209:0.200949:0.411927:0.200949:0.411927:0.184560:0.115209:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ():@0.166670:0.230312:0.240180:0.230312:0.240180:0.210379:0.166670:0.210379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ():@0.191806:0.272587:0.265315:0.272587:0.265315:0.252653:0.191806:0.252653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.119659:0.228958:0.130936:0.228958:0.130936:0.213385:0.119659:0.213385:0.000000
Δ:@0.119659:0.248404:0.130936:0.248404:0.130936:0.232831:0.119659:0.232831:0.000000
=:@0.143744:0.237478:0.153860:0.237478:0.153860:0.221905:0.143744:0.221905:0.000000
≠:@0.264721:0.237478:0.274838:0.237478:0.274838:0.221905:0.264721:0.221905:0.000000
=:@0.141846:0.279757:0.151962:0.279757:0.151962:0.264184:0.141846:0.264184:0.000000
→:@0.163529:0.286037:0.174070:0.286037:0.174070:0.277012:0.163529:0.277012:0.000000
y:@0.130757:0.228281:0.138238:0.228281:0.138238:0.212887:0.130757:0.212887:0.000000
x:@0.130757:0.247726:0.138220:0.247726:0.138220:0.232333:0.130757:0.232333:0.000000
fx:@0.157882:0.227174:0.182041:0.227174:0.182041:0.211781:0.157882:0.211781:0.000000:0.000000
fx:@0.208188:0.227174:0.232346:0.227174:0.232346:0.211781:0.208188:0.211781:0.000000:0.000000
x:@0.181027:0.247726:0.188490:0.247726:0.188490:0.232333:0.181027:0.232333:0.000000
x:@0.209664:0.247726:0.217127:0.247726:0.217127:0.232333:0.209664:0.232333:0.000000
x:@0.249124:0.236806:0.256587:0.236806:0.256587:0.221413:0.249124:0.221413:0.000000
x:@0.278866:0.236806:0.286329:0.236806:0.286329:0.221413:0.278866:0.221413:0.000000
dy:@0.119658:0.270556:0.136354:0.270556:0.136354:0.255163:0.119658:0.255163:0.000000:0.000000
dx:@0.119658:0.290002:0.136335:0.290002:0.136335:0.274608:0.119658:0.274608:0.000000:0.000000
fx:@0.183012:0.269450:0.207171:0.269450:0.207171:0.254057:0.183012:0.254057:0.000000:0.000000
fx:@0.233318:0.269450:0.257477:0.269450:0.257477:0.254057:0.233318:0.254057:0.000000:0.000000
x:@0.206158:0.290002:0.213621:0.290002:0.213621:0.274608:0.206158:0.274608:0.000000
x:@0.234794:0.290002:0.242257:0.290002:0.242257:0.274608:0.234794:0.274608:0.000000
x:@0.155676:0.285645:0.160001:0.285645:0.160001:0.276724:0.155676:0.276724:0.000000
x:@0.174995:0.285645:0.179321:0.285645:0.179321:0.276724:0.174995:0.276724:0.000000
–:@0.196458:0.227180:0.205672:0.227180:0.205672:0.211511:0.196458:0.211511:0.000000
–:@0.196458:0.247732:0.205672:0.247732:0.205672:0.232063:0.196458:0.232063:0.000000
,:@0.243098:0.236806:0.246305:0.236806:0.246305:0.221137:0.243098:0.221137:0.000000
lim:@0.155770:0.279086:0.178509:0.279086:0.178509:0.263416:0.155770:0.263416:0.000000:0.000000:0.000000
–:@0.221575:0.269460:0.230789:0.269460:0.230789:0.253790:0.221575:0.253790:0.000000
–:@0.221575:0.290012:0.230789:0.290012:0.230789:0.274342:0.221575:0.274342:0.000000
1:@0.182061:0.229184:0.187273:0.229184:0.187273:0.220103:0.182061:0.220103:0.000000
1:@0.188501:0.249736:0.193712:0.249736:0.193712:0.240654:0.188501:0.240654:0.000000
1:@0.256616:0.238811:0.261827:0.238811:0.261827:0.229729:0.256616:0.229729:0.000000
1:@0.207201:0.271457:0.212412:0.271457:0.212412:0.262376:0.207201:0.262376:0.000000
1:@0.213641:0.292008:0.218852:0.292008:0.218852:0.282927:0.213641:0.282927:0.000000
1:@0.159864:0.287089:0.163619:0.287089:0.163619:0.280545:0.159864:0.280545:0.000000
Actividad resuelta:@0.115209:0.448272:0.272331:0.448272:0.272331:0.429835:0.115209:0.429835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculemos:@0.115209:0.468117:0.203772:0.468117:0.203772:0.451493:0.115209:0.451493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cociente incremental para la siguiente función  ( ) = 6  + 27  y  = 2.:@0.203772:0.468117:0.736130:0.468117:0.736130:0.451728:0.203772:0.451728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.568892:0.468117:0.590010:0.468117:0.590010:0.451756:0.568892:0.451756:0.000000:0.000000:0.000000
x:@0.622940:0.468117:0.630403:0.468117:0.630403:0.451756:0.622940:0.451756:0.000000
x  a:@0.667443:0.468117:0.704876:0.468117:0.704876:0.451756:0.667443:0.451756:0.000000:0.000000:0.000000:0.000000
3:@0.674903:0.462070:0.680146:0.462070:0.680146:0.452515:0.674903:0.452515:0.000000
Solución:@0.115210:0.491836:0.184425:0.491836:0.184425:0.474935:0.115210:0.474935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ahora, la definición del cociente incremental viene dado por  ,   dos intervalos de  ,   una función de  :@0.115210:0.315347:0.883943:0.315352:0.883943:0.298964:0.115210:0.298959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B,:@0.568842:0.315347:0.598309:0.315347:0.598309:0.298986:0.568842:0.298986:0.000000:0.000000:0.000000:0.000000
:@0.736822:0.315390:0.750126:0.315390:0.750126:0.298642:0.736822:0.298642:0.000000
f:@0.758211:0.315352:0.762910:0.315352:0.762910:0.298991:0.758211:0.298991:0.000000
A:@0.115215:0.331949:0.125111:0.331949:0.125111:0.315588:0.115215:0.315588:0.000000
 en  , :@0.125203:0.331949:0.168729:0.331949:0.168729:0.315560:0.125203:0.315560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B a:@0.152458:0.331949:0.181059:0.332271:0.181059:0.315909:0.152458:0.315588:0.000000:0.000000:0.000000
:@0.200906:0.333142:0.214210:0.333142:0.214210:0.316394:0.200906:0.316394:0.000000
∈:@0.184413:0.332948:0.197552:0.332948:0.197552:0.317375:0.184413:0.317375:0.000000
 fijo y :@0.217487:0.331949:0.260921:0.331949:0.260921:0.315560:0.217487:0.315560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.288549:0.333686:0.301854:0.333686:0.301854:0.316938:0.288549:0.316938:0.000000
∈:@0.272060:0.333493:0.285199:0.333493:0.285199:0.317920:0.272060:0.317920:0.000000
, tal que   ≠0, y, :@0.302685:0.332815:0.420496:0.331949:0.420496:0.315560:0.302685:0.316426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.259804:0.332815:0.269312:0.332815:0.269312:0.316454:0.259804:0.316454:0.000000
h:@0.364275:0.331949:0.373784:0.331949:0.373784:0.315588:0.364275:0.315588:0.000000
.  :@0.486340:0.331949:0.496657:0.331949:0.496657:0.315560:0.486340:0.315560:0.000000:0.000000:0.000000
+∈:@0.434871:0.332627:0.472777:0.332627:0.472777:0.317054:0.434871:0.317054:0.000000:0.000000
ah:@0.423557:0.331949:0.456892:0.331949:0.456892:0.315588:0.423557:0.315588:0.000000:0.000000
A:@0.477218:0.331949:0.487114:0.331949:0.487114:0.315588:0.477218:0.315588:0.000000
El cociente incremental de la función   en el punto   se denota  ( ), para valores de :@0.115205:0.356594:0.753815:0.356594:0.753815:0.340206:0.115205:0.340206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.399673:0.356594:0.404372:0.356594:0.404372:0.340233:0.399673:0.340233:0.000000
a:@0.502259:0.356594:0.511529:0.356594:0.511529:0.340233:0.502259:0.340233:0.000000
Q h:@0.595927:0.356594:0.622371:0.356594:0.622371:0.340233:0.595927:0.340233:0.000000:0.000000:0.000000
0:@0.787565:0.356406:0.796557:0.356406:0.796557:0.340736:0.787565:0.340736:0.000000
≠:@0.774905:0.357084:0.785022:0.357084:0.785022:0.341511:0.774905:0.341511:0.000000
h:@0.760144:0.356406:0.769653:0.356406:0.769653:0.341013:0.760144:0.341013:0.000000
 suficiente-:@0.797092:0.356588:0.879905:0.356588:0.879905:0.340199:0.797092:0.340199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente pequeños, se define::@0.115214:0.373185:0.321050:0.373185:0.321050:0.356796:0.115214:0.356796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.131594:0.412173:0.154058:0.412173:0.154058:0.392240:0.131594:0.392240:0.000000:0.000000
(:@0.179654:0.402543:0.185790:0.402543:0.185790:0.382610:0.179654:0.382610:0.000000
) ():@0.219807:0.402543:0.271799:0.402543:0.271799:0.382610:0.219807:0.382610:0.000000:0.000000:0.000000:0.000000
=:@0.156723:0.409718:0.166840:0.409718:0.166840:0.394145:0.156723:0.394145:0.000000
+:@0.197761:0.400092:0.207878:0.400092:0.207878:0.384519:0.197761:0.384519:0.000000
≠:@0.294506:0.409718:0.304623:0.409718:0.304623:0.394145:0.294506:0.394145:0.000000
Q h:@0.117822:0.409040:0.147905:0.409040:0.147905:0.393647:0.117822:0.393647:0.000000:0.000000:0.000000
fa h:@0.170857:0.399414:0.219793:0.399414:0.219793:0.384021:0.170857:0.384021:0.000000:0.000000:0.000000:0.000000
fa:@0.240178:0.399414:0.265055:0.399414:0.265055:0.384021:0.240178:0.384021:0.000000:0.000000
h:@0.216874:0.419964:0.226383:0.419964:0.226383:0.404571:0.216874:0.404571:0.000000
h:@0.282629:0.409040:0.292138:0.409040:0.292138:0.393647:0.282629:0.393647:0.000000
–:@0.228452:0.399414:0.237665:0.399414:0.237665:0.383745:0.228452:0.383745:0.000000
,:@0.274723:0.409040:0.277930:0.409040:0.277930:0.393371:0.274723:0.393371:0.000000
.:@0.278851:0.409040:0.282058:0.409040:0.282058:0.393371:0.278851:0.393371:0.000000
0:@0.307174:0.409040:0.316167:0.409040:0.316167:0.393371:0.307174:0.393371:0.000000
Cociente incremental. Noción de derivada:@0.115891:0.141978:0.718776:0.141978:0.718776:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17:@0.049671:0.122645:0.080840:0.122645:0.080840:0.065614:0.049671:0.065614:0.000000:0.000000
M.5.1.33. Calcular de manera intuitiva la derivada de funciones cuadráticas, a partir del cociente incremental.:@0.125388:0.074999:0.628386:0.074999:0.628386:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.627234:0.615903:0.633370:0.615903:0.633370:0.591298:0.627234:0.591298:0.000000
):@0.758162:0.615903:0.764299:0.615903:0.764299:0.591298:0.758162:0.591298:0.000000
( ):@0.617811:0.519973:0.649764:0.519973:0.649764:0.500040:0.617811:0.500040:0.000000:0.000000:0.000000
(:@0.617811:0.543004:0.623947:0.543004:0.623947:0.523071:0.617811:0.523071:0.000000
):@0.653210:0.543004:0.659347:0.543004:0.659347:0.523071:0.653210:0.523071:0.000000
(:@0.617811:0.566036:0.623947:0.566036:0.623947:0.546102:0.617811:0.546102:0.000000
):@0.662369:0.566036:0.668505:0.566036:0.668505:0.546102:0.662369:0.546102:0.000000
(:@0.617811:0.589067:0.623947:0.589067:0.623947:0.569134:0.617811:0.569134:0.000000
):@0.671951:0.589067:0.678088:0.589067:0.678088:0.569134:0.671951:0.569134:0.000000
():@0.684040:0.647486:0.705361:0.647486:0.705361:0.627553:0.684040:0.627553:0.000000:0.000000
():@0.627651:0.684220:0.649396:0.684220:0.649396:0.664286:0.627651:0.664286:0.000000:0.000000
()():@0.707277:0.684220:0.751430:0.684220:0.751430:0.664286:0.707277:0.664286:0.000000:0.000000:0.000000:0.000000
=:@0.652415:0.517518:0.662531:0.517518:0.662531:0.501945:0.652415:0.501945:0.000000
=:@0.661997:0.540545:0.672114:0.540545:0.672114:0.524972:0.661997:0.524972:0.000000
=:@0.671155:0.563573:0.681272:0.563573:0.681272:0.548000:0.671155:0.548000:0.000000
=:@0.680738:0.586600:0.690855:0.586600:0.690855:0.571027:0.680738:0.571027:0.000000
+:@0.662200:0.611190:0.672316:0.611190:0.672316:0.595617:0.662200:0.595617:0.000000
+:@0.710885:0.611190:0.721002:0.611190:0.721002:0.595617:0.710885:0.595617:0.000000
=:@0.766961:0.611190:0.777078:0.611190:0.777078:0.595617:0.766961:0.595617:0.000000
=+:@0.628809:0.645019:0.662900:0.645019:0.662900:0.629446:0.628809:0.629446:0.000000:0.000000
=+:@0.652046:0.681753:0.686137:0.681753:0.686137:0.666180:0.652046:0.666180:0.000000:0.000000
=:@0.761359:0.681753:0.771476:0.681753:0.771476:0.666180:0.761359:0.666180:0.000000
→:@0.609853:0.617463:0.620394:0.617463:0.620394:0.608438:0.609853:0.608438:0.000000
Q:@0.604042:0.516840:0.615928:0.516840:0.615928:0.500479:0.604042:0.500479:0.000000
Q:@0.604042:0.539867:0.615928:0.539867:0.615928:0.523506:0.604042:0.523506:0.000000
Q:@0.604042:0.562895:0.615928:0.562895:0.615928:0.546534:0.604042:0.546534:0.000000
Q:@0.604042:0.585922:0.615928:0.585922:0.615928:0.569561:0.604042:0.569561:0.000000
h:@0.699958:0.610513:0.709467:0.610513:0.709467:0.594151:0.699958:0.594151:0.000000
h:@0.741365:0.610513:0.750873:0.610513:0.750873:0.594151:0.741365:0.594151:0.000000
dp:@0.605885:0.635822:0.624368:0.635822:0.624368:0.619461:0.605885:0.619461:0.000000:0.000000
dx:@0.606253:0.655268:0.622930:0.655268:0.622930:0.638906:0.606253:0.638906:0.000000:0.000000
x:@0.707919:0.644342:0.715382:0.644342:0.715382:0.627980:0.707919:0.627980:0.000000
dP:@0.605885:0.672555:0.623870:0.672555:0.623870:0.656194:0.605885:0.656194:0.000000:0.000000
dx:@0.606449:0.691998:0.623126:0.691998:0.623126:0.675637:0.606449:0.675637:0.000000:0.000000
h:@0.604565:0.617071:0.610075:0.617071:0.610075:0.607588:0.604565:0.607588:0.000000
0,1:@0.624249:0.516840:0.646178:0.516840:0.646178:0.500451:0.624249:0.500451:0.000000:0.000000:0.000000
346,47:@0.665084:0.516840:0.715281:0.516840:0.715281:0.500451:0.665084:0.500451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,1:@0.624617:0.539867:0.655760:0.539867:0.655760:0.523479:0.624617:0.523479:0.000000:0.000000:0.000000:0.000000
314,07:@0.674667:0.539867:0.724477:0.539867:0.724477:0.523479:0.674667:0.523479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.624230:0.562895:0.664882:0.562895:0.664882:0.546506:0.624230:0.546506:0.000000:0.000000:0.000000:0.000000:0.000000
330,162:@0.683807:0.562895:0.740914:0.562895:0.740914:0.546506:0.683807:0.546506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,001:@0.624617:0.585922:0.674482:0.585922:0.674482:0.569533:0.624617:0.569533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
329,838:@0.693408:0.585922:0.751657:0.585922:0.751657:0.569533:0.693408:0.569533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim 330 162:@0.603370:0.610513:0.699784:0.610513:0.699784:0.594124:0.603370:0.594124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
27:@0.723058:0.610513:0.740840:0.610513:0.740840:0.594124:0.723058:0.594124:0.000000:0.000000
330:@0.779649:0.610513:0.806222:0.610513:0.806222:0.594124:0.779649:0.594124:0.000000:0.000000:0.000000
6273:@0.641866:0.644342:0.699489:0.644342:0.699489:0.627953:0.641866:0.627953:0.000000:0.000000:0.000000:0.000000
, entonces:@0.724366:0.644342:0.800435:0.644342:0.800435:0.627953:0.724366:0.627953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.729286:0.644342:0.732493:0.644342:0.732493:0.627953:0.729286:0.627953:0.000000
2:@0.634108:0.681075:0.643100:0.681075:0.643100:0.664686:0.634108:0.664686:0.000000
6 27 32:@0.665103:0.681075:0.745134:0.681075:0.745134:0.664686:0.665103:0.664686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
330:@0.774047:0.681075:0.800620:0.681075:0.800620:0.664686:0.774047:0.664686:0.000000:0.000000:0.000000
0:@0.620479:0.617071:0.625691:0.617071:0.625691:0.607572:0.620479:0.607572:0.000000
2:@0.750835:0.602843:0.756047:0.602843:0.756047:0.593345:0.750835:0.593345:0.000000
2:@0.717013:0.636676:0.722224:0.636676:0.722224:0.627178:0.717013:0.627178:0.000000
2:@0.751668:0.671526:0.756880:0.671526:0.756880:0.662028:0.751668:0.662028:0.000000
6:@0.190909:0.520062:0.199902:0.520062:0.199902:0.503674:0.190909:0.503674:0.000000
27:@0.261377:0.520062:0.279159:0.520062:0.279159:0.503674:0.261377:0.503674:0.000000:0.000000
6:@0.190909:0.544653:0.199902:0.544653:0.199902:0.528264:0.190909:0.528264:0.000000
27:@0.223895:0.544653:0.241678:0.544653:0.241678:0.528264:0.223895:0.528264:0.000000:0.000000
6 81:@0.290216:0.544653:0.331089:0.544653:0.331089:0.528264:0.290216:0.528264:0.000000:0.000000:0.000000:0.000000
81:@0.359264:0.544653:0.377047:0.544653:0.377047:0.528264:0.359264:0.528264:0.000000:0.000000
27:@0.406808:0.544653:0.424590:0.544653:0.424590:0.528264:0.406808:0.528264:0.000000:0.000000
–:@0.177715:0.570820:0.186929:0.570820:0.186929:0.554431:0.177715:0.554431:0.000000
6 81:@0.256199:0.570820:0.297053:0.570820:0.297053:0.554431:0.256199:0.554431:0.000000:0.000000:0.000000:0.000000
81:@0.325229:0.570820:0.343011:0.570820:0.343011:0.554431:0.325229:0.554431:0.000000:0.000000
27:@0.372772:0.570820:0.390554:0.570820:0.390554:0.554431:0.372772:0.554431:0.000000:0.000000
–:@0.230750:0.595410:0.239964:0.595410:0.239964:0.579021:0.230750:0.579021:0.000000
681:@0.293570:0.605036:0.334442:0.605036:0.334442:0.588647:0.293570:0.588647:0.000000:0.000000:0.000000
81:@0.362618:0.605036:0.380401:0.605036:0.380401:0.588647:0.362618:0.588647:0.000000:0.000000
27;:@0.410143:0.605036:0.448491:0.605036:0.448491:0.588647:0.410143:0.588647:0.000000:0.000000:0.000000
...:@0.449412:0.605036:0.458700:0.605036:0.458700:0.588647:0.449412:0.588647:0.000000:0.000000:0.000000
2:@0.484167:0.605036:0.493160:0.605036:0.493160:0.588647:0.484167:0.588647:0.000000
330 162:@0.169386:0.635089:0.235486:0.635089:0.235486:0.618700:0.169386:0.618700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
27:@0.258760:0.635089:0.276543:0.635089:0.276543:0.618700:0.258760:0.618700:0.000000:0.000000
3:@0.327023:0.510514:0.332234:0.510514:0.332234:0.501016:0.327023:0.501016:0.000000
3:@0.252052:0.536997:0.257263:0.536997:0.257263:0.527499:0.252052:0.527499:0.000000
2:@0.338375:0.536997:0.343587:0.536997:0.343587:0.527499:0.338375:0.527499:0.000000
2:@0.434599:0.536997:0.439811:0.536997:0.439811:0.527499:0.434599:0.527499:0.000000
2:@0.304350:0.563167:0.309562:0.563167:0.309562:0.553668:0.304350:0.553668:0.000000
2:@0.400573:0.563167:0.405785:0.563167:0.405785:0.553668:0.400573:0.553668:0.000000
2:@0.341733:0.597386:0.346945:0.597386:0.346945:0.587888:0.341733:0.587888:0.000000
2:@0.437957:0.597386:0.443168:0.597386:0.443168:0.587888:0.437957:0.587888:0.000000
2:@0.286554:0.627443:0.291766:0.627443:0.291766:0.617945:0.286554:0.617945:0.000000
(:@0.283413:0.550052:0.289549:0.550052:0.289549:0.525447:0.283413:0.525447:0.000000
):@0.441927:0.550052:0.448064:0.550052:0.448064:0.525447:0.441927:0.525447:0.000000
(:@0.249377:0.576209:0.255513:0.576209:0.255513:0.551604:0.249377:0.551604:0.000000
):@0.407892:0.576209:0.414028:0.576209:0.414028:0.551604:0.407892:0.551604:0.000000
(:@0.128926:0.523194:0.135062:0.523194:0.135062:0.503261:0.128926:0.503261:0.000000
):@0.169079:0.523194:0.175216:0.523194:0.175216:0.503261:0.169079:0.503261:0.000000
(:@0.201217:0.523194:0.207354:0.523194:0.207354:0.503261:0.201217:0.503261:0.000000
):@0.241371:0.523194:0.247507:0.523194:0.247507:0.503261:0.241371:0.503261:0.000000
(:@0.280474:0.523194:0.286611:0.523194:0.286611:0.503261:0.280474:0.503261:0.000000
):@0.320628:0.523194:0.326765:0.523194:0.326765:0.503261:0.320628:0.503261:0.000000
(:@0.128926:0.547783:0.135062:0.547783:0.135062:0.527850:0.128926:0.527850:0.000000
):@0.169079:0.547783:0.175216:0.547783:0.175216:0.527850:0.169079:0.527850:0.000000
(:@0.128926:0.573948:0.135062:0.573948:0.135062:0.554015:0.128926:0.554015:0.000000
):@0.169079:0.573948:0.175216:0.573948:0.175216:0.554015:0.169079:0.554015:0.000000
():@0.200535:0.573948:0.223367:0.573948:0.223367:0.554015:0.200535:0.554015:0.000000:0.000000
():@0.131598:0.608168:0.154061:0.608168:0.154061:0.588234:0.131598:0.588234:0.000000:0.000000
(:@0.181960:0.598537:0.188097:0.598537:0.188097:0.578604:0.181960:0.578604:0.000000
):@0.222114:0.598537:0.228251:0.598537:0.228251:0.578604:0.222114:0.578604:0.000000
():@0.253570:0.598537:0.276402:0.598537:0.276402:0.578604:0.253570:0.578604:0.000000:0.000000
():@0.131598:0.638227:0.154061:0.638227:0.154061:0.618294:0.131598:0.618294:0.000000:0.000000
+:@0.147038:0.520740:0.157155:0.520740:0.157155:0.505167:0.147038:0.505167:0.000000
=:@0.177868:0.520740:0.187985:0.520740:0.187985:0.505167:0.177868:0.505167:0.000000
+:@0.219330:0.520740:0.229447:0.520740:0.229447:0.505167:0.219330:0.505167:0.000000
+:@0.249220:0.520740:0.259336:0.520740:0.259336:0.505167:0.249220:0.505167:0.000000
+:@0.298587:0.520740:0.308704:0.520740:0.308704:0.505167:0.298587:0.505167:0.000000
+:@0.147038:0.545330:0.157155:0.545330:0.157155:0.529757:0.147038:0.529757:0.000000
=:@0.177868:0.545330:0.187985:0.545330:0.187985:0.529757:0.177868:0.529757:0.000000
+:@0.211738:0.545330:0.221855:0.545330:0.221855:0.529757:0.211738:0.529757:0.000000
+:@0.260589:0.545330:0.270706:0.545330:0.270706:0.529757:0.260589:0.529757:0.000000
+:@0.301149:0.545330:0.311265:0.545330:0.311265:0.529757:0.301149:0.529757:0.000000
+:@0.347107:0.545330:0.357224:0.545330:0.357224:0.529757:0.347107:0.529757:0.000000
+:@0.394650:0.545330:0.404767:0.545330:0.404767:0.529757:0.394650:0.529757:0.000000
+:@0.147020:0.571497:0.157137:0.571497:0.157137:0.555924:0.147020:0.555924:0.000000
=:@0.226019:0.571497:0.236136:0.571497:0.236136:0.555924:0.226019:0.555924:0.000000
+:@0.267113:0.571497:0.277230:0.571497:0.277230:0.555924:0.267113:0.555924:0.000000
+:@0.313071:0.571497:0.323188:0.571497:0.323188:0.555924:0.313071:0.555924:0.000000
+:@0.360615:0.571497:0.370731:0.571497:0.370731:0.555924:0.360615:0.555924:0.000000
=:@0.156713:0.605714:0.166830:0.605714:0.166830:0.590141:0.156713:0.590141:0.000000
+:@0.200055:0.596088:0.210171:0.596088:0.210171:0.580515:0.200055:0.580515:0.000000
=+:@0.280510:0.605714:0.314601:0.605714:0.314601:0.590141:0.280510:0.590141:0.000000:0.000000
+:@0.350443:0.605714:0.360559:0.605714:0.360559:0.590141:0.350443:0.590141:0.000000
+:@0.397986:0.605714:0.408103:0.605714:0.408103:0.590141:0.397986:0.590141:0.000000
=:@0.471475:0.605714:0.481592:0.605714:0.481592:0.590141:0.471475:0.590141:0.000000
=:@0.156694:0.635767:0.166811:0.635767:0.166811:0.620194:0.156694:0.620194:0.000000
+:@0.197899:0.635767:0.208015:0.635767:0.208015:0.620194:0.197899:0.620194:0.000000
+:@0.246584:0.635767:0.256701:0.635767:0.256701:0.620194:0.246584:0.620194:0.000000
Pa h:@0.117794:0.520049:0.169022:0.520049:0.169022:0.503687:0.117794:0.503687:0.000000:0.000000:0.000000:0.000000
a h:@0.207997:0.520049:0.241314:0.520049:0.241314:0.503687:0.207997:0.503687:0.000000:0.000000:0.000000
a h:@0.287254:0.520049:0.320571:0.520049:0.320571:0.503687:0.287254:0.503687:0.000000:0.000000:0.000000
Pa h:@0.117775:0.544639:0.169004:0.544639:0.169004:0.528278:0.117775:0.528278:0.000000:0.000000:0.000000:0.000000
a:@0.200386:0.544639:0.209655:0.544639:0.209655:0.528278:0.200386:0.528278:0.000000
a:@0.242162:0.544639:0.251431:0.544639:0.251431:0.528278:0.242162:0.528278:0.000000
h:@0.273046:0.544639:0.282555:0.544639:0.282555:0.528278:0.273046:0.528278:0.000000
a:@0.328495:0.544639:0.337764:0.544639:0.337764:0.528278:0.328495:0.528278:0.000000
ah:@0.374454:0.544639:0.393176:0.544639:0.393176:0.528278:0.374454:0.528278:0.000000:0.000000
h:@0.425074:0.544639:0.434583:0.544639:0.434583:0.528278:0.425074:0.528278:0.000000
Pa h:@0.117775:0.570806:0.169004:0.570806:0.169004:0.554445:0.117775:0.554445:0.000000:0.000000:0.000000:0.000000
P a:@0.189385:0.570806:0.216566:0.570806:0.216566:0.554445:0.189385:0.554445:0.000000:0.000000:0.000000
h:@0.239029:0.570806:0.248538:0.570806:0.248538:0.554445:0.239029:0.554445:0.000000
a:@0.294459:0.570806:0.303728:0.570806:0.303728:0.554445:0.294459:0.554445:0.000000
ah:@0.340418:0.570806:0.359140:0.570806:0.359140:0.554445:0.340418:0.554445:0.000000:0.000000
h:@0.391039:0.570806:0.400547:0.570806:0.400547:0.554445:0.391039:0.554445:0.000000
Qh:@0.117775:0.605022:0.147868:0.605022:0.147868:0.588661:0.117775:0.588661:0.000000:0.000000
Pa h:@0.170810:0.595396:0.222039:0.595396:0.222039:0.579035:0.170810:0.579035:0.000000:0.000000:0.000000:0.000000
P a:@0.242420:0.595396:0.269601:0.595396:0.269601:0.579035:0.242420:0.579035:0.000000:0.000000:0.000000
h:@0.219127:0.615948:0.228636:0.615948:0.228636:0.599587:0.219127:0.599587:0.000000
a:@0.331831:0.605022:0.341100:0.605022:0.341100:0.588661:0.331831:0.588661:0.000000
ah:@0.377789:0.605022:0.396512:0.605022:0.396512:0.588661:0.377789:0.588661:0.000000:0.000000
h:@0.428410:0.605022:0.437919:0.605022:0.437919:0.588661:0.428410:0.588661:0.000000
a:@0.459202:0.605022:0.468472:0.605022:0.468472:0.588661:0.459202:0.588661:0.000000
Qh:@0.117775:0.635075:0.147868:0.635075:0.147868:0.618714:0.117775:0.618714:0.000000:0.000000
h:@0.235620:0.635075:0.245129:0.635075:0.245129:0.618714:0.235620:0.618714:0.000000
h:@0.277027:0.635075:0.286536:0.635075:0.286536:0.618714:0.277027:0.618714:0.000000
a) :@0.180908:0.893232:0.199631:0.893232:0.199631:0.876331:0.180908:0.876331:0.000000:0.000000:0.000000
    = 3     :@0.199631:0.893232:0.265196:0.893232:0.265196:0.876843:0.199631:0.876843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.207702:0.893232:0.216971:0.893232:0.216971:0.876871:0.207702:0.876871:0.000000
  :@0.265196:0.893232:0.272825:0.893232:0.272825:0.876331:0.265196:0.876331:0.000000:0.000000
c):@0.328587:0.893232:0.342408:0.893232:0.342408:0.876331:0.328587:0.876331:0.000000:0.000000
   :@0.342408:0.893232:0.354128:0.893232:0.354128:0.876608:0.342408:0.876608:0.000000:0.000000:0.000000
a:@0.354128:0.893232:0.363397:0.893232:0.363397:0.876871:0.354128:0.876871:0.000000
 = 10:@0.363397:0.893232:0.400437:0.893232:0.400437:0.876843:0.363397:0.876843:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.400437:0.893232:0.408066:0.893232:0.408066:0.876331:0.400437:0.876331:0.000000:0.000000
b):@0.180908:0.916951:0.197125:0.916951:0.197125:0.900050:0.180908:0.900050:0.000000:0.000000
    = 4           :@0.197125:0.916951:0.290221:0.916951:0.290221:0.900562:0.197125:0.900562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.209232:0.916951:0.221818:0.916951:0.221818:0.900590:0.209232:0.900590:0.000000:0.000000
d):@0.328587:0.916951:0.344841:0.916951:0.344841:0.900050:0.328587:0.900050:0.000000:0.000000
    = 7:@0.348655:0.916951:0.394042:0.916951:0.394042:0.900562:0.348655:0.900562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.356726:0.916951:0.365995:0.916951:0.365995:0.900590:0.356726:0.900590:0.000000
():@0.757003:0.762360:0.776859:0.762360:0.776859:0.744740:0.757003:0.744740:0.000000:0.000000
(:@0.713366:0.788163:0.718790:0.788163:0.718790:0.770544:0.713366:0.770544:0.000000
):@0.771679:0.788163:0.777103:0.788163:0.777103:0.770544:0.771679:0.770544:0.000000
(:@0.713366:0.808521:0.718790:0.808521:0.718790:0.790902:0.713366:0.790902:0.000000
):@0.763209:0.808521:0.768633:0.808521:0.768633:0.790902:0.763209:0.790902:0.000000
=:@0.715171:0.760191:0.724113:0.760191:0.724113:0.746426:0.715171:0.746426:0.000000
=:@0.779218:0.760191:0.788160:0.760191:0.788160:0.746426:0.779218:0.746426:0.000000
+:@0.809759:0.760191:0.818702:0.760191:0.818702:0.746426:0.809759:0.746426:0.000000
=:@0.779446:0.785998:0.788388:0.785998:0.788388:0.772233:0.779446:0.772233:0.000000
=:@0.770976:0.806352:0.779918:0.806352:0.779918:0.792587:0.770976:0.792587:0.000000
iv a:@0.685134:0.759592:0.712532:0.759592:0.712532:0.745130:0.685134:0.745130:0.000000:0.000000:0.000000:0.000000
Q h:@0.744832:0.759592:0.771416:0.759592:0.771416:0.745130:0.744832:0.745130:0.000000:0.000000:0.000000
h:@0.828214:0.759592:0.836619:0.759592:0.836619:0.745130:0.828214:0.745130:0.000000
Q:@0.701195:0.785399:0.711701:0.785399:0.711701:0.770937:0.701195:0.770937:0.000000
Q:@0.701195:0.805753:0.711701:0.805753:0.711701:0.791291:0.701195:0.791291:0.000000
):@0.696944:0.759592:0.701260:0.759592:0.701260:0.745105:0.696944:0.745105:0.000000
.:@0.701016:0.759592:0.703850:0.759592:0.703850:0.745105:0.701016:0.745105:0.000000
7:@0.726003:0.759592:0.733951:0.759592:0.733951:0.745105:0.726003:0.745105:0.000000
....:@0.733772:0.759592:0.744670:0.759592:0.744670:0.745105:0.733772:0.745105:0.000000:0.000000:0.000000:0.000000
85:@0.791711:0.752061:0.807430:0.752061:0.807430:0.737575:0.791711:0.737575:0.000000:0.000000
2:@0.795409:0.769250:0.803358:0.769250:0.803358:0.754763:0.795409:0.754763:0.000000
3:@0.820493:0.759592:0.828442:0.759592:0.828442:0.745105:0.820493:0.745105:0.000000
......:@0.684776:0.785399:0.701048:0.785399:0.701048:0.770912:0.684776:0.770912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000 1:@0.719389:0.785399:0.773940:0.785399:0.773940:0.770912:0.719389:0.770912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.763304:0.785399:0.766138:0.785399:0.766138:0.770912:0.763304:0.770912:0.000000
42,499 7:@0.791304:0.785399:0.845806:0.785399:0.845806:0.770912:0.791304:0.770912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.835169:0.785399:0.838004:0.785399:0.838004:0.770912:0.835169:0.770912:0.000000
......:@0.684776:0.805753:0.701048:0.805753:0.701048:0.791267:0.684776:0.791267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 1:@0.719064:0.805753:0.765470:0.805753:0.765470:0.791267:0.719064:0.791267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.754834:0.805753:0.757668:0.805753:0.757668:0.791267:0.754834:0.791267:0.000000
42,500 3:@0.782834:0.805753:0.836684:0.805753:0.836684:0.791267:0.782834:0.791267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.826048:0.805753:0.828882:0.805753:0.828882:0.791267:0.826048:0.791267:0.000000
():@0.590972:0.830300:0.613435:0.830300:0.613435:0.810367:0.590972:0.810367:0.000000:0.000000
(:@0.545843:0.859492:0.551979:0.859492:0.551979:0.839559:0.545843:0.839559:0.000000
):@0.611813:0.859492:0.617950:0.859492:0.617950:0.839559:0.611813:0.839559:0.000000
(:@0.545843:0.882523:0.551979:0.882523:0.551979:0.862590:0.545843:0.862590:0.000000
):@0.602231:0.882523:0.608367:0.882523:0.608367:0.862590:0.602231:0.862590:0.000000
=:@0.546263:0.827846:0.556380:0.827846:0.556380:0.812273:0.546263:0.812273:0.000000
=:@0.616104:0.827846:0.626221:0.827846:0.626221:0.812273:0.616104:0.812273:0.000000
+:@0.651430:0.827846:0.661546:0.827846:0.661546:0.812273:0.651430:0.812273:0.000000
=:@0.620600:0.857042:0.630717:0.857042:0.630717:0.841469:0.620600:0.841469:0.000000
=:@0.611018:0.880069:0.621134:0.880069:0.621134:0.864496:0.611018:0.864496:0.000000
ia:@0.519984:0.827168:0.543276:0.827168:0.543276:0.810807:0.519984:0.810807:0.000000:0.000000
Qh:@0.577203:0.827168:0.607295:0.827168:0.607295:0.810807:0.577203:0.810807:0.000000:0.000000
h:@0.672326:0.827168:0.681835:0.827168:0.681835:0.810807:0.672326:0.810807:0.000000
Q:@0.532075:0.856362:0.543961:0.856362:0.543961:0.840000:0.532075:0.840000:0.000000
Q:@0.532075:0.879389:0.543961:0.879389:0.543961:0.863028:0.532075:0.863028:0.000000
):@0.525644:0.827166:0.530527:0.827166:0.530527:0.810777:0.525644:0.810777:0.000000
.:@0.530251:0.827166:0.533457:0.827166:0.533457:0.810777:0.530251:0.810777:0.000000
3:@0.558933:0.827168:0.567926:0.827168:0.567926:0.810779:0.558933:0.810779:0.000000
...:@0.567723:0.827168:0.577010:0.827168:0.577010:0.810779:0.567723:0.810779:0.000000:0.000000:0.000000
37:@0.630229:0.818649:0.648012:0.818649:0.648012:0.802260:0.630229:0.802260:0.000000:0.000000
2:@0.634781:0.838094:0.643774:0.838094:0.643774:0.821705:0.634781:0.821705:0.000000
3:@0.663565:0.827168:0.672558:0.827168:0.672558:0.810779:0.663565:0.810779:0.000000
....:@0.519565:0.856362:0.531893:0.856362:0.531893:0.839973:0.519565:0.839973:0.000000:0.000000:0.000000:0.000000
–0,000 118,499 7:@0.552651:0.856362:0.694157:0.856362:0.694157:0.839973:0.552651:0.839973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.602332:0.856362:0.605538:0.856362:0.605538:0.839973:0.602332:0.839973:0.000000
.:@0.682123:0.856362:0.685330:0.856362:0.685330:0.839973:0.682123:0.839973:0.000000
....:@0.519565:0.879385:0.531893:0.879385:0.531893:0.862996:0.519565:0.862996:0.000000:0.000000:0.000000:0.000000
0,000 118,500 3:@0.552284:0.879385:0.683839:0.879385:0.683839:0.862996:0.552284:0.862996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.592751:0.879385:0.595957:0.879385:0.595957:0.862996:0.592751:0.862996:0.000000
.:@0.671805:0.879385:0.675012:0.879385:0.675012:0.862996:0.671805:0.862996:0.000000
():@0.791163:0.830300:0.813626:0.830300:0.813626:0.810367:0.791163:0.810367:0.000000:0.000000
(:@0.744891:0.859492:0.751028:0.859492:0.751028:0.839559:0.744891:0.839559:0.000000
):@0.810862:0.859492:0.816998:0.859492:0.816998:0.839559:0.810862:0.839559:0.000000
(:@0.744891:0.882523:0.751028:0.882523:0.751028:0.862590:0.744891:0.862590:0.000000
):@0.801280:0.882523:0.807416:0.882523:0.807416:0.862590:0.801280:0.862590:0.000000
=:@0.745722:0.827846:0.755839:0.827846:0.755839:0.812273:0.745722:0.812273:0.000000
=:@0.816300:0.827846:0.826417:0.827846:0.826417:0.812273:0.816300:0.812273:0.000000
+:@0.852363:0.827846:0.862480:0.827846:0.862480:0.812273:0.852363:0.812273:0.000000
=:@0.819635:0.857042:0.829752:0.857042:0.829752:0.841469:0.819635:0.841469:0.000000
=:@0.810053:0.880069:0.820170:0.880069:0.820170:0.864496:0.810053:0.864496:0.000000
ii a:@0.715987:0.827168:0.742740:0.827168:0.742740:0.810807:0.715987:0.810807:0.000000:0.000000:0.000000:0.000000
Q h:@0.777403:0.827168:0.807476:0.827168:0.807476:0.810807:0.777403:0.810807:0.000000:0.000000:0.000000
h:@0.873245:0.827168:0.882753:0.827168:0.882753:0.810807:0.873245:0.810807:0.000000
Q:@0.731112:0.856364:0.742998:0.856364:0.742998:0.840003:0.731112:0.840003:0.000000
Q:@0.731112:0.879392:0.742998:0.879392:0.742998:0.863030:0.731112:0.863030:0.000000
):@0.725086:0.827168:0.729970:0.827168:0.729970:0.810779:0.725086:0.810779:0.000000
.:@0.729693:0.827168:0.732900:0.827168:0.732900:0.810779:0.729693:0.810779:0.000000
4:@0.759124:0.827168:0.768117:0.827168:0.768117:0.810779:0.759124:0.810779:0.000000
...:@0.767914:0.827168:0.777201:0.827168:0.777201:0.810779:0.767914:0.810779:0.000000:0.000000:0.000000
49:@0.831158:0.818649:0.848940:0.818649:0.848940:0.802260:0.831158:0.802260:0.000000:0.000000
2:@0.835341:0.838094:0.844333:0.838094:0.844333:0.821705:0.835341:0.821705:0.000000
3:@0.864493:0.827168:0.873486:0.827168:0.873486:0.810779:0.864493:0.810779:0.000000
.....:@0.715568:0.856362:0.730936:0.856362:0.730936:0.839973:0.715568:0.839973:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000 1:@0.751689:0.856362:0.813403:0.856362:0.813403:0.839973:0.751689:0.839973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.801370:0.856362:0.804577:0.856362:0.804577:0.839973:0.801370:0.839973:0.000000
24,499 7:@0.832310:0.856362:0.894706:0.856362:0.894706:0.839973:0.832310:0.839973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.882673:0.856362:0.885879:0.856362:0.885879:0.839973:0.882673:0.839973:0.000000
.....:@0.715568:0.879385:0.730936:0.879385:0.730936:0.862996:0.715568:0.862996:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 1:@0.751322:0.879385:0.803823:0.879385:0.803823:0.862996:0.751322:0.862996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.791789:0.879385:0.794996:0.879385:0.794996:0.862996:0.791789:0.862996:0.000000
24,500 3:@0.822729:0.879385:0.884388:0.879385:0.884388:0.862996:0.822729:0.862996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.872355:0.879385:0.875562:0.879385:0.875562:0.862996:0.872355:0.862996:0.000000
a):@0.513127:0.826222:0.528035:0.826222:0.528035:0.809321:0.513127:0.809321:0.000000:0.000000
b):@0.706672:0.826222:0.722889:0.826222:0.722889:0.809321:0.706672:0.809321:0.000000:0.000000