162:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
Solución de problemas:@0.615740:0.093478:0.895500:0.093478:0.895500:0.066773:0.615740:0.066773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia matemática:@0.138821:0.103383:0.578361:0.103383:0.578361:0.040860:0.138821:0.040860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones de la derivada y uso  :@0.143847:0.124058:0.416094:0.124058:0.416094:0.106375:0.143847:0.106375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función compuesta:@0.143847:0.142163:0.341032:0.142163:0.341032:0.124480:0.143847:0.124480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.143847:0.158634:0.157631:0.158634:0.157631:0.142189:0.143847:0.142189:0.000000:0.000000
  El volumen de un cubo de lado   (medido en cm) :@0.157631:0.157956:0.505121:0.157956:0.505121:0.142176:0.157631:0.142176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.382872:0.158067:0.386502:0.158067:0.386502:0.142314:0.382872:0.142314:0.000000
está definido como   =   en cm . El área lateral :@0.167582:0.174552:0.505126:0.174552:0.505126:0.158772:0.167582:0.158772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.307814:0.174663:0.318097:0.174663:0.318097:0.158910:0.307814:0.158910:0.000000
l:@0.339049:0.174663:0.342679:0.174663:0.342679:0.158910:0.339049:0.158910:0.000000
3:@0.343646:0.168476:0.348384:0.168476:0.348384:0.159276:0.343646:0.159276:0.000000
3:@0.397691:0.168476:0.402429:0.168476:0.402429:0.159276:0.397691:0.159276:0.000000
de la superficie del cubo es   = 6   en cm , donde :@0.167587:0.191149:0.505143:0.191149:0.505143:0.175368:0.167587:0.175368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.352672:0.191259:0.360209:0.191259:0.360209:0.175507:0.352672:0.175507:0.000000
l:@0.389785:0.191259:0.393416:0.191259:0.393416:0.175507:0.389785:0.175507:0.000000
2:@0.394409:0.185073:0.399147:0.185073:0.399147:0.175873:0.394409:0.175873:0.000000
2:@0.445251:0.185073:0.449989:0.185073:0.449989:0.175873:0.445251:0.175873:0.000000
l:@0.167585:0.207856:0.171215:0.207856:0.171215:0.192103:0.167585:0.192103:0.000000
 > 0 designa la longitud del lado. Se definen dos :@0.172137:0.207745:0.505104:0.207745:0.505104:0.191965:0.172137:0.191965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones: una del área de la superficie lateral del :@0.167585:0.224341:0.505122:0.224341:0.505122:0.208561:0.167585:0.208561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cubo y la función volumen del cubo. Las dos fun-:@0.167585:0.240938:0.501247:0.240938:0.501247:0.225157:0.167585:0.225157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones son estrictamente crecientes.:@0.167585:0.257534:0.412135:0.257534:0.412135:0.241754:0.167585:0.241754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143850:0.287712:0.147812:0.287712:0.147812:0.271932:0.143850:0.271932:0.000000
S:@0.167585:0.287823:0.175122:0.287823:0.175122:0.272070:0.167585:0.272070:0.000000
:                               ,   :                               .:@0.175122:0.287712:0.449510:0.287712:0.449510:0.271932:0.175122:0.271932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.311136:0.287823:0.321419:0.287823:0.321419:0.272070:0.311136:0.272070:0.000000
 :@0.143850:0.319397:0.147812:0.319397:0.147812:0.303617:0.143850:0.303617:0.000000
Supongamos que la longitud del lado del cubo es :@0.167585:0.319397:0.505082:0.319397:0.505082:0.303617:0.167585:0.303617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función del tiempo, esto es, :@0.167585:0.335994:0.387700:0.335994:0.387700:0.320213:0.167585:0.320213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143850:0.366918:0.147812:0.366918:0.147812:0.351138:0.143850:0.351138:0.000000
l:@0.167585:0.367029:0.171215:0.367029:0.171215:0.351276:0.167585:0.351276:0.000000
:                                  , donde   denota el tiempo.:@0.172137:0.366918:0.494613:0.366918:0.494613:0.351138:0.172137:0.351138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.364886:0.367029:0.370304:0.367029:0.370304:0.351276:0.364886:0.351276:0.000000
 :@0.143850:0.398603:0.147812:0.398603:0.147812:0.382823:0.143850:0.382823:0.000000
Se asume que esta función es derivable en cada:@0.167585:0.398603:0.489566:0.398603:0.489566:0.382823:0.167585:0.382823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143850:0.422322:0.147812:0.422322:0.147812:0.406542:0.143850:0.406542:0.000000
t:@0.167585:0.422433:0.173003:0.422433:0.173003:0.406680:0.167585:0.406680:0.000000
   ]0,  [, esto es,        ( ) = lím                          .:@0.173003:0.422322:0.480436:0.422329:0.480436:0.406548:0.173003:0.406542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.176970:0.421970:0.191622:0.421970:0.191622:0.408597:0.176970:0.408597:0.000000
T:@0.215909:0.422439:0.225289:0.422439:0.225289:0.406687:0.215909:0.406687:0.000000
t:@0.323875:0.422439:0.329292:0.422439:0.329292:0.406687:0.323875:0.406687:0.000000
 :@0.143839:0.453184:0.147801:0.453184:0.147801:0.437404:0.143839:0.437404:0.000000
Nos interesa calcular las tasas de variación (co-:@0.167573:0.453184:0.501220:0.453184:0.501220:0.437404:0.167573:0.437404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cientes incrementales) de las funciones  , y  , así :@0.167573:0.469780:0.505147:0.469780:0.505147:0.454000:0.167573:0.454000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.439527:0.469891:0.447064:0.469891:0.447064:0.454138:0.439527:0.454138:0.000000
V:@0.466394:0.469891:0.476677:0.469891:0.476677:0.454138:0.466394:0.454138:0.000000
como sus derivadas::@0.167573:0.486377:0.303588:0.486377:0.303588:0.470596:0.167573:0.470596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143839:0.516555:0.147801:0.516555:0.147801:0.500774:0.143839:0.500774:0.000000
      ( ) =        ( ), de modo que, conociendo una:@0.167573:0.516555:0.487416:0.516555:0.487416:0.500774:0.167573:0.500774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.197039:0.516665:0.202457:0.516665:0.202457:0.500912:0.197039:0.500912:0.000000
t:@0.258549:0.516665:0.263967:0.516665:0.263967:0.500912:0.258549:0.500912:0.000000
 :@0.143839:0.548240:0.147801:0.548240:0.147801:0.532459:0.143839:0.532459:0.000000
de estas tres derivadas, puedan calcularse las otras :@0.167573:0.548240:0.505090:0.548240:0.505090:0.532459:0.167573:0.532459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos. Es claro que podemos definir las funciones :@0.167573:0.564836:0.505090:0.564836:0.505090:0.549056:0.167573:0.549056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuestas (:@0.167573:0.581433:0.259839:0.581433:0.259839:0.565652:0.167573:0.565652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sol t Vol t:@0.259841:0.581543:0.352532:0.581543:0.352532:0.565790:0.259841:0.565790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ), (:@0.279466:0.581433:0.314257:0.581433:0.314257:0.565652:0.279466:0.565652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ) como sigue::@0.335726:0.581433:0.443046:0.581433:0.443046:0.565652:0.335726:0.565652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143839:0.609342:0.147801:0.609342:0.147801:0.593562:0.143839:0.593562:0.000000
S t:@0.167573:0.609453:0.186222:0.609453:0.186222:0.593700:0.167573:0.593700:0.000000:0.000000:0.000000
( ) = (:@0.175110:0.609342:0.215872:0.609342:0.215872:0.593562:0.175110:0.593562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sol t:@0.215872:0.609453:0.252304:0.609453:0.252304:0.593700:0.215872:0.593700:0.000000:0.000000:0.000000:0.000000:0.000000
)( ) =  ( ( )) = 6 (t),       [0,  ],:@0.235498:0.609342:0.459258:0.609337:0.459258:0.593557:0.235498:0.593562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S l t:@0.276260:0.609453:0.304233:0.609453:0.304233:0.593700:0.276260:0.593700:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.342009:0.609453:0.345640:0.609453:0.345640:0.593700:0.342009:0.593700:0.000000
2:@0.345651:0.603261:0.350389:0.603261:0.350389:0.594061:0.345651:0.594061:0.000000
∀:@0.382269:0.616571:0.393315:0.616571:0.393315:0.598436:0.382269:0.598436:0.000000
t:@0.393322:0.609448:0.398740:0.609448:0.398740:0.593695:0.393322:0.593695:0.000000
:@0.402702:0.608979:0.417354:0.608979:0.417354:0.595605:0.402702:0.595605:0.000000
T:@0.441641:0.609448:0.451021:0.609448:0.451021:0.593695:0.441641:0.593695:0.000000
 :@0.143850:0.625933:0.147812:0.625933:0.147812:0.610153:0.143850:0.610153:0.000000
V t:@0.167585:0.626044:0.188980:0.626044:0.188980:0.610291:0.167585:0.610291:0.000000:0.000000:0.000000
( ) = (:@0.177868:0.625933:0.218630:0.625933:0.218630:0.610153:0.177868:0.610153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vol t:@0.218630:0.626044:0.256904:0.626044:0.256904:0.610291:0.218630:0.610291:0.000000:0.000000:0.000000:0.000000:0.000000
)( ) =  ( ( )) =  (t),       [0,  ].:@0.240098:0.625933:0.458467:0.625933:0.458467:0.610153:0.240098:0.610153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V l t:@0.280860:0.626044:0.311579:0.626044:0.311579:0.610291:0.280860:0.610291:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.341229:0.626044:0.344859:0.626044:0.344859:0.610291:0.341229:0.610291:0.000000
3:@0.344861:0.619857:0.349598:0.619857:0.349598:0.610657:0.344861:0.610657:0.000000
∀:@0.381476:0.633168:0.392523:0.633168:0.392523:0.615032:0.381476:0.615032:0.000000
t:@0.392531:0.626044:0.397949:0.626044:0.397949:0.610291:0.392531:0.610291:0.000000
:@0.401909:0.625575:0.416562:0.625575:0.416562:0.612202:0.401909:0.612202:0.000000
T:@0.440850:0.626044:0.450230:0.626044:0.450230:0.610291:0.440850:0.610291:0.000000
i.:@0.167587:0.654050:0.174681:0.654050:0.174681:0.638063:0.167587:0.638063:0.000000:0.000000
  Calculamos los cocientes incrementales de las :@0.174497:0.653843:0.505122:0.653843:0.505122:0.638063:0.174497:0.638063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones   y  .:@0.191322:0.670439:0.294756:0.670439:0.294756:0.654659:0.191322:0.654659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S V:@0.259817:0.670550:0.292305:0.670550:0.292305:0.654797:0.259817:0.654797:0.000000:0.000000:0.000000
Sea    [0,  ], :@0.191322:0.687036:0.287527:0.687038:0.287527:0.671258:0.191322:0.671255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.217618:0.687146:0.223036:0.687146:0.223036:0.671394:0.217618:0.671394:0.000000
:@0.227009:0.686680:0.241662:0.686680:0.241662:0.673307:0.227009:0.673307:0.000000
T h :@0.265948:0.687149:0.300482:0.687149:0.300482:0.671396:0.265948:0.671396:0.000000:0.000000:0.000000:0.000000
:@0.300480:0.686529:0.314435:0.686529:0.314435:0.673793:0.300480:0.673793:0.000000
   con   ≠ 0, tal que:@0.314435:0.687038:0.453788:0.687038:0.453788:0.671258:0.314435:0.671258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.318397:0.685993:0.331097:0.685993:0.331097:0.673716:0.318397:0.673716:0.000000
h:@0.364801:0.687149:0.373794:0.687149:0.373794:0.671396:0.364801:0.671396:0.000000
 :@0.167588:0.703635:0.171550:0.703635:0.171550:0.687854:0.167588:0.687854:0.000000
x h:@0.191323:0.703745:0.225728:0.703745:0.225728:0.687993:0.191323:0.687993:0.000000:0.000000:0.000000
 +     [0,  ].:@0.198473:0.703635:0.286256:0.703635:0.286256:0.687854:0.198473:0.687854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.229700:0.703276:0.244352:0.703276:0.244352:0.689903:0.229700:0.689903:0.000000
T:@0.268639:0.703745:0.278019:0.703745:0.278019:0.687993:0.268639:0.687993:0.000000
 :@0.167582:0.731544:0.171544:0.731544:0.171544:0.715764:0.167582:0.715764:0.000000
Como la función   es derivable, entonces,:@0.191317:0.731544:0.461169:0.731544:0.461169:0.715764:0.191317:0.715764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.307040:0.731655:0.310671:0.731655:0.310671:0.715902:0.307040:0.715902:0.000000
 :@0.167582:0.748141:0.171544:0.748141:0.171544:0.732360:0.167582:0.732360:0.000000
l t h:@0.191317:0.748251:0.232945:0.748251:0.232945:0.732499:0.191317:0.732499:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( )   0.:@0.194763:0.748141:0.308121:0.748143:0.308121:0.732363:0.194763:0.732360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.255869:0.748251:0.270242:0.748251:0.270242:0.732499:0.255869:0.732499:0.000000:0.000000:0.000000
→:@0.279360:0.754865:0.293399:0.754865:0.293399:0.737593:0.279360:0.737593:0.000000
Ponemos  =  (  +  ) –  ( ) ≠ 0, luego:@0.191327:0.776053:0.434922:0.776053:0.434922:0.760272:0.191327:0.760272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k l t h:@0.257408:0.776163:0.323711:0.776163:0.323711:0.760411:0.257408:0.760411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.346450:0.776163:0.360824:0.776163:0.360824:0.760411:0.346450:0.760411:0.000000:0.000000:0.000000
 :@0.167592:0.792649:0.171554:0.792649:0.171554:0.776869:0.167592:0.776869:0.000000
l t h:@0.191327:0.792760:0.232218:0.792760:0.232218:0.777007:0.191327:0.777007:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) =   +  ( ),:@0.194773:0.792649:0.302998:0.792649:0.302998:0.776869:0.194773:0.776869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k l t:@0.255252:0.792760:0.295037:0.792760:0.295037:0.777007:0.255252:0.777007:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.167592:0.820559:0.171554:0.820559:0.171554:0.804778:0.167592:0.804778:0.000000
                            = :@0.191327:0.820559:0.311401:0.820559:0.311401:0.804778:0.191327:0.804778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.167592:0.853751:0.171554:0.853751:0.171554:0.837971:0.167592:0.837971:0.000000
                            = :@0.191327:0.853751:0.311401:0.853751:0.311401:0.837971:0.191327:0.837971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.167592:0.886944:0.171554:0.886944:0.171554:0.871164:0.167592:0.871164:0.000000
                            = :@0.191327:0.886944:0.311401:0.886944:0.311401:0.871164:0.191327:0.871164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.167592:0.920137:0.171554:0.920137:0.171554:0.904356:0.167592:0.904356:0.000000
                            = 6 :@0.191327:0.920137:0.323121:0.920137:0.323121:0.904356:0.191327:0.904356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558166:0.130523:0.562128:0.130523:0.562128:0.114743:0.558166:0.114743:0.000000
                            = 6 :@0.581900:0.130523:0.713695:0.130523:0.713695:0.114743:0.581900:0.114743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558166:0.163716:0.562128:0.163716:0.562128:0.147935:0.558166:0.147935:0.000000
                            = 6[  + 2 ( )]                           .:@0.581900:0.163716:0.878069:0.163716:0.878069:0.147935:0.581900:0.147935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.714966:0.163826:0.722853:0.163826:0.722853:0.148074:0.714966:0.148074:0.000000
l t:@0.748320:0.163826:0.762694:0.163826:0.762694:0.148074:0.748320:0.148074:0.000000:0.000000:0.000000
 :@0.558166:0.196908:0.562128:0.196908:0.562128:0.181128:0.558166:0.181128:0.000000
Así,                            = 6[  + 2 ( )]                         ,:@0.581900:0.196908:0.891669:0.196908:0.891669:0.181128:0.581900:0.181128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.737043:0.197019:0.744930:0.197019:0.744930:0.181266:0.737043:0.181266:0.000000
l t:@0.770397:0.197019:0.784770:0.197019:0.784770:0.181266:0.770397:0.181266:0.000000:0.000000:0.000000
 :@0.558147:0.219535:0.562109:0.219535:0.562109:0.203754:0.558147:0.203754:0.000000
h:@0.581882:0.219645:0.590875:0.219645:0.590875:0.203893:0.581882:0.203893:0.000000
 ≠ 0.:@0.590690:0.219535:0.618977:0.219535:0.618977:0.203754:0.590690:0.203754:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558147:0.246822:0.562109:0.246822:0.562109:0.231042:0.558147:0.231042:0.000000
De manera similar con la función  ::@0.581882:0.246822:0.817019:0.246822:0.817019:0.231042:0.581882:0.231042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.804283:0.246933:0.814566:0.246933:0.814566:0.231180:0.804283:0.231180:0.000000
 :@0.558147:0.277000:0.562109:0.277000:0.562109:0.261219:0.558147:0.261219:0.000000
                            =:@0.581882:0.277000:0.697994:0.277000:0.697994:0.261219:0.581882:0.261219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558147:0.310192:0.562109:0.310192:0.562109:0.294412:0.558147:0.294412:0.000000
= [  + 3 ( ) + 3 ( )]                           ,   ≠ 0.:@0.581882:0.310192:0.867035:0.310208:0.867035:0.294427:0.581882:0.294412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.601231:0.310303:0.609118:0.310303:0.609118:0.294550:0.601231:0.294550:0.000000
2:@0.608966:0.304131:0.613703:0.304131:0.613703:0.294932:0.608966:0.294932:0.000000
kl t:@0.639247:0.310318:0.660992:0.310318:0.660992:0.294566:0.639247:0.294566:0.000000:0.000000:0.000000:0.000000
l t:@0.691969:0.310318:0.710971:0.310318:0.710971:0.294566:0.691969:0.294566:0.000000:0.000000:0.000000
2:@0.695413:0.304131:0.700151:0.304131:0.700151:0.294932:0.695413:0.294932:0.000000
h:@0.829940:0.310318:0.838932:0.310318:0.838932:0.294566:0.829940:0.294566:0.000000
ii.:@0.558169:0.342100:0.569152:0.342100:0.569152:0.326112:0.558169:0.326112:0.000000:0.000000:0.000000
  Calculamos la derivada de la función  . Toman-:@0.568968:0.341893:0.891764:0.341893:0.891764:0.326112:0.568968:0.326112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.826107:0.342003:0.833644:0.342003:0.833644:0.326251:0.826107:0.326251:0.000000
do límites en el cociente incremental, se tiene::@0.581904:0.358489:0.884557:0.358489:0.884557:0.342709:0.581904:0.342709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558169:0.391682:0.562131:0.391682:0.562131:0.375902:0.558169:0.375902:0.000000
            = lím :@0.581904:0.391682:0.666300:0.391682:0.666300:0.375902:0.581904:0.375902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558169:0.424875:0.562131:0.424875:0.562131:0.409094:0.558169:0.409094:0.000000
           = lím 6[  + 2 ( )] =                         :@0.581913:0.424875:0.847813:0.424875:0.847813:0.409094:0.581913:0.409094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.680786:0.424985:0.688673:0.424985:0.688673:0.409233:0.680786:0.409233:0.000000
l t:@0.714140:0.424985:0.728514:0.424985:0.728514:0.409233:0.714140:0.409233:0.000000:0.000000:0.000000
 :@0.558169:0.458067:0.562131:0.458067:0.562131:0.442287:0.558169:0.442287:0.000000
             = 12 ( )            .:@0.581904:0.458067:0.725400:0.458067:0.725400:0.442287:0.581904:0.442287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.659945:0.458178:0.674318:0.458178:0.674318:0.442425:0.659945:0.442425:0.000000:0.000000:0.000000
 :@0.558169:0.491260:0.562131:0.491260:0.562131:0.475480:0.558169:0.475480:0.000000
Nota que la existencia de una derivada implica :@0.581904:0.491260:0.895719:0.491260:0.895719:0.475480:0.581904:0.475480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la existencia de la otra. Calculamos la derivada :@0.581904:0.507857:0.895719:0.507857:0.895719:0.492076:0.581904:0.492076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función  .:@0.581904:0.524453:0.684767:0.524453:0.684767:0.508673:0.581904:0.508673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.672031:0.524564:0.682314:0.524564:0.682314:0.508811:0.672031:0.508811:0.000000
 :@0.558169:0.554631:0.562131:0.554631:0.562131:0.538850:0.558169:0.538850:0.000000
            = lím :@0.581904:0.554631:0.666300:0.554631:0.666300:0.538850:0.581904:0.538850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.558169:0.587823:0.562131:0.587823:0.562131:0.572043:0.558169:0.572043:0.000000
            = lím[  + 3 ( ) + 3 ( )]                         :@0.581904:0.587823:0.882659:0.587820:0.882659:0.572039:0.581904:0.572043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.667574:0.587934:0.675461:0.587934:0.675461:0.572181:0.667574:0.572181:0.000000
2:@0.675287:0.581743:0.680024:0.581743:0.680024:0.572544:0.675287:0.572544:0.000000
kl t:@0.705568:0.587930:0.727313:0.587930:0.727313:0.572178:0.705568:0.572178:0.000000:0.000000:0.000000:0.000000
l t:@0.758290:0.587930:0.777292:0.587930:0.777292:0.572178:0.758290:0.572178:0.000000:0.000000:0.000000
2:@0.761734:0.581743:0.766472:0.581743:0.766472:0.572544:0.761734:0.572544:0.000000
 :@0.558169:0.617997:0.562131:0.617997:0.562131:0.602217:0.558169:0.602217:0.000000
            = 3 ( ) =            .:@0.581904:0.617997:0.732786:0.617995:0.732786:0.602214:0.581904:0.602217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.648297:0.618108:0.667312:0.618106:0.667312:0.602353:0.648297:0.602355:0.000000:0.000000:0.000000
2:@0.651755:0.611919:0.656492:0.611919:0.656492:0.602719:0.651755:0.602719:0.000000
 :@0.534431:0.651188:0.538393:0.651188:0.538393:0.635407:0.534431:0.635407:0.000000
Las relaciones buscadas son::@0.558166:0.651188:0.748888:0.651188:0.748888:0.635407:0.558166:0.635407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.534431:0.681365:0.538393:0.681365:0.538393:0.665585:0.534431:0.665585:0.000000
             = 12 ( )          ,       [0,  ],:@0.558166:0.681365:0.791793:0.681363:0.791793:0.665582:0.558166:0.665585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.640224:0.681476:0.654966:0.681476:0.654966:0.665723:0.640224:0.665723:0.000000:0.000000:0.000000
∀:@0.714804:0.688597:0.725850:0.688597:0.725850:0.670462:0.714804:0.670462:0.000000
t:@0.725857:0.681473:0.731275:0.681473:0.731275:0.665721:0.725857:0.665721:0.000000
:@0.735237:0.681005:0.749889:0.681005:0.749889:0.667631:0.735237:0.667631:0.000000
T:@0.774176:0.681473:0.783556:0.681473:0.783556:0.665721:0.774176:0.665721:0.000000
 :@0.534432:0.714556:0.538394:0.714556:0.538394:0.698775:0.534432:0.698775:0.000000
             = 3 ( )          ,       [0,  ].:@0.558167:0.714556:0.789325:0.714556:0.789325:0.698775:0.558167:0.698775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.632099:0.714666:0.652503:0.714666:0.652503:0.698914:0.632099:0.698914:0.000000:0.000000:0.000000
2:@0.636654:0.708479:0.641392:0.708479:0.641392:0.699280:0.636654:0.699280:0.000000
∀:@0.712336:0.721790:0.723383:0.721790:0.723383:0.703654:0.712336:0.703654:0.000000
t:@0.723389:0.714666:0.728807:0.714666:0.728807:0.698914:0.723389:0.698914:0.000000
:@0.732769:0.714197:0.747422:0.714197:0.747422:0.700824:0.732769:0.700824:0.000000
T:@0.771708:0.714666:0.781088:0.714666:0.781088:0.698914:0.771708:0.698914:0.000000
 :@0.534434:0.731152:0.538396:0.731152:0.538396:0.715372:0.534434:0.715372:0.000000
 :@0.534434:0.747748:0.538396:0.747748:0.538396:0.731968:0.534434:0.731968:0.000000
Supón que el volumen del cubo está aumentando :@0.558169:0.747748:0.895780:0.747748:0.895780:0.731968:0.558169:0.731968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a razón de 10 cm /s cuando  ( ) = 20 cm. Calcula-:@0.558169:0.764345:0.891753:0.764345:0.891753:0.748564:0.558169:0.748564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.674712:0.758269:0.679450:0.758269:0.679450:0.749069:0.674712:0.749069:0.000000
l t:@0.750542:0.764455:0.765044:0.764455:0.765044:0.748703:0.750542:0.748703:0.000000:0.000000:0.000000
mos la razón de cambio del área de la super-:@0.558176:0.780941:0.854345:0.780941:0.854345:0.765161:0.558176:0.765161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.534441:0.804660:0.538403:0.804660:0.538403:0.788880:0.534441:0.788880:0.000000
ficie del cubo. Se tiene        = 10         , entonces::@0.558176:0.804660:0.878573:0.804660:0.878573:0.788880:0.558176:0.788880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.534441:0.837853:0.538403:0.837853:0.538403:0.822072:0.534441:0.822072:0.000000
10 = 3 × (20 )                       =                 ,:@0.558176:0.837853:0.832027:0.837859:0.832027:0.822079:0.558176:0.822072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.641021:0.831783:0.645759:0.831783:0.645759:0.822583:0.641021:0.822583:0.000000
 :@0.534422:0.875574:0.538384:0.875574:0.538384:0.859794:0.534422:0.859794:0.000000
          = 12 ( )          = 12 × 20 ×          = 2        .:@0.558157:0.875574:0.864074:0.875574:0.864074:0.859794:0.558157:0.859794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.628330:0.875685:0.643072:0.875685:0.643072:0.859932:0.628330:0.859932:0.000000:0.000000:0.000000
 :@0.803411:0.875782:0.807317:0.875782:0.807317:0.859794:0.803411:0.859794:0.000000
 :@0.534422:0.908767:0.538384:0.908767:0.538384:0.892987:0.534422:0.892987:0.000000
Este es un ejemplo de derivación de funciones :@0.558157:0.908767:0.895676:0.908767:0.895676:0.892987:0.558157:0.892987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuestas, conocido como regla de la cadena.:@0.558157:0.925363:0.884487:0.925363:0.884487:0.909583:0.558157:0.909583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
]0, ∞[   ]0, ∞[:@0.195736:0.281600:0.295017:0.281600:0.295017:0.265820:0.195736:0.265820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.238357:0.288322:0.252396:0.288322:0.252396:0.271050:0.238357:0.271050:0.000000
l:@0.195729:0.298307:0.199359:0.298307:0.199359:0.282555:0.195729:0.282555:0.000000
    ( ) = 6:@0.199359:0.298197:0.272058:0.298197:0.272058:0.282416:0.199359:0.282416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.203328:0.304918:0.217367:0.304918:0.217367:0.287647:0.203328:0.287647:0.000000
S t:@0.221327:0.298307:0.239976:0.298307:0.239976:0.282555:0.221327:0.282555:0.000000:0.000000:0.000000
l:@0.272058:0.298307:0.275688:0.298307:0.275688:0.282555:0.272058:0.282555:0.000000
2:@0.275687:0.292120:0.280424:0.292120:0.280424:0.282921:0.275687:0.282921:0.000000
[0,  ]   [0, ∞[:@0.195736:0.361094:0.291663:0.361094:0.291663:0.345314:0.195736:0.345314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.216062:0.361205:0.225441:0.361205:0.225441:0.345452:0.216062:0.345452:0.000000
→:@0.235003:0.367816:0.249042:0.367816:0.249042:0.350544:0.235003:0.350544:0.000000
t:@0.195729:0.377801:0.201147:0.377801:0.201147:0.362049:0.195729:0.362049:0.000000
    ( ):@0.201147:0.377691:0.243551:0.377691:0.243551:0.361910:0.201147:0.361910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.205116:0.384413:0.219154:0.384413:0.219154:0.367141:0.205116:0.367141:0.000000
l t:@0.223114:0.377801:0.237856:0.377801:0.237856:0.362049:0.223114:0.362049:0.000000:0.000000:0.000000
]0, ∞[   ]0, ∞[:@0.341475:0.281598:0.440763:0.281600:0.440763:0.265820:0.341475:0.265817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.384103:0.288322:0.398142:0.288322:0.398142:0.271050:0.384103:0.271050:0.000000
l:@0.341475:0.298307:0.345105:0.298307:0.345105:0.282555:0.341475:0.282555:0.000000
    ( ) = :@0.345105:0.298197:0.412423:0.298197:0.412423:0.282416:0.345105:0.282416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.349074:0.304918:0.363112:0.304918:0.363112:0.287647:0.349074:0.287647:0.000000
V t:@0.367073:0.298307:0.388467:0.298307:0.388467:0.282555:0.367073:0.282555:0.000000:0.000000:0.000000
l:@0.412423:0.298307:0.416053:0.298307:0.416053:0.282555:0.412423:0.282555:0.000000
3:@0.416052:0.292120:0.420789:0.292120:0.420789:0.282921:0.416052:0.282921:0.000000
dl:@0.300452:0.415312:0.312743:0.415312:0.312743:0.399559:0.300452:0.399559:0.000000:0.000000
dt:@0.299549:0.431659:0.313646:0.431659:0.313646:0.415906:0.299549:0.415906:0.000000:0.000000
dS:@0.169450:0.510074:0.185758:0.510074:0.185758:0.494322:0.169450:0.494322:0.000000:0.000000
dt:@0.170555:0.526422:0.184652:0.526422:0.184652:0.510669:0.170555:0.510669:0.000000:0.000000
dV:@0.229809:0.510074:0.248863:0.510074:0.248863:0.494322:0.229809:0.494322:0.000000:0.000000
dt:@0.232296:0.526422:0.246393:0.526422:0.246393:0.510669:0.232296:0.510669:0.000000:0.000000
l t h:@0.383905:0.415312:0.425902:0.415312:0.425902:0.399559:0.383905:0.399559:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.387536:0.415201:0.469999:0.415201:0.469999:0.399421:0.387536:0.399421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.449563:0.415312:0.464305:0.415312:0.464305:0.399559:0.449563:0.399559:0.000000:0.000000:0.000000
h:@0.422456:0.431659:0.431449:0.431659:0.431449:0.415906:0.422456:0.415906:0.000000
h:@0.352843:0.430849:0.358975:0.430849:0.358975:0.420108:0.352843:0.420108:0.000000
→:@0.358973:0.430167:0.369720:0.430167:0.369720:0.420155:0.358973:0.420155:0.000000
0:@0.369720:0.430773:0.375260:0.430773:0.375260:0.420014:0.369720:0.420014:0.000000
h:@0.275362:0.758957:0.281493:0.758957:0.281493:0.748217:0.275362:0.748217:0.000000
→:@0.281490:0.758273:0.292237:0.758273:0.292237:0.748262:0.281490:0.748262:0.000000
0:@0.292236:0.758880:0.297777:0.758880:0.297777:0.748120:0.292236:0.748120:0.000000
S t h:@0.193055:0.813802:0.238959:0.813802:0.238959:0.798049:0.193055:0.798049:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.200592:0.813691:0.286963:0.813691:0.286963:0.797911:0.200592:0.797911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t:@0.262620:0.813802:0.281269:0.813802:0.281269:0.798049:0.262620:0.798049:0.000000:0.000000:0.000000
h:@0.235513:0.830149:0.244505:0.830149:0.244505:0.814397:0.235513:0.814397:0.000000
S l t h:@0.319312:0.813802:0.374539:0.813802:0.374539:0.798049:0.319312:0.798049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (  +  )) –  ( ( )):@0.326848:0.813691:0.443256:0.813691:0.443256:0.797911:0.326848:0.797911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S l t:@0.403894:0.813802:0.431868:0.813802:0.431868:0.798049:0.403894:0.798049:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.376787:0.830149:0.385780:0.830149:0.385780:0.814397:0.376787:0.814397:0.000000
S k l t:@0.319864:0.848353:0.373986:0.848353:0.373986:0.832600:0.319864:0.832600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ( )) –  ( ( )):@0.327401:0.848242:0.442703:0.848242:0.442703:0.832461:0.327401:0.832461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S l t:@0.403342:0.848353:0.431315:0.848353:0.431315:0.832600:0.403342:0.832600:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.376787:0.864700:0.385780:0.864700:0.385780:0.848947:0.376787:0.848947:0.000000
S k l t:@0.317678:0.880825:0.371800:0.880825:0.371800:0.865072:0.317678:0.865072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ( ))  – 6 ( )):@0.325215:0.880714:0.444886:0.880714:0.444886:0.864934:0.325215:0.864934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.383187:0.874638:0.387925:0.874638:0.387925:0.865438:0.383187:0.865438:0.000000
l t:@0.414018:0.880825:0.433498:0.880825:0.433498:0.865072:0.414018:0.865072:0.000000:0.000000:0.000000
2:@0.417648:0.874638:0.422386:0.874638:0.422386:0.865438:0.417648:0.865438:0.000000
h:@0.376777:0.897172:0.385770:0.897172:0.385770:0.881420:0.376777:0.881420:0.000000
k:@0.716358:0.123910:0.724245:0.123910:0.724245:0.108157:0.716358:0.108157:0.000000
2:@0.724245:0.117723:0.728983:0.117723:0.728983:0.108523:0.724245:0.108523:0.000000
 + 2 ( ):@0.728983:0.123799:0.783363:0.123799:0.783363:0.108018:0.728983:0.108018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kl t k:@0.755371:0.123910:0.801213:0.123910:0.801213:0.108157:0.755371:0.108157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.745918:0.140257:0.753805:0.140257:0.753805:0.124504:0.745918:0.124504:0.000000
l:@0.781053:0.157412:0.784683:0.157412:0.784683:0.141659:0.781053:0.141659:0.000000
(t + h) –  ( ):@0.784683:0.157301:0.867939:0.157301:0.867939:0.141521:0.784683:0.141521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.847503:0.157412:0.862245:0.157412:0.862245:0.141659:0.847503:0.141659:0.000000:0.000000:0.000000
h:@0.819990:0.173759:0.828983:0.173759:0.828983:0.158006:0.819990:0.158006:0.000000
h:@0.792773:0.140257:0.801766:0.140257:0.801766:0.124504:0.792773:0.124504:0.000000
S t h:@0.611204:0.190427:0.656186:0.190427:0.656186:0.174674:0.611204:0.174674:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.618741:0.190316:0.703268:0.190316:0.703268:0.174536:0.618741:0.174536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t:@0.678925:0.190427:0.697574:0.190427:0.697574:0.174674:0.678925:0.174674:0.000000:0.000000:0.000000
h:@0.652740:0.206774:0.661732:0.206774:0.661732:0.191022:0.652740:0.191022:0.000000
V t h:@0.581249:0.270004:0.628976:0.270004:0.628976:0.254251:0.581249:0.254251:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.591531:0.269893:0.678805:0.269893:0.678805:0.254113:0.591531:0.254113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V t:@0.651716:0.270004:0.673110:0.270004:0.673110:0.254251:0.651716:0.254251:0.000000:0.000000:0.000000
h:@0.625530:0.286352:0.634523:0.286352:0.634523:0.270599:0.625530:0.270599:0.000000
V l t h:@0.707790:0.270004:0.764842:0.270004:0.764842:0.254251:0.707790:0.254251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (  +  )) –  ( ( )):@0.718072:0.269893:0.835383:0.269893:0.835383:0.254113:0.718072:0.254113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V l t:@0.793275:0.270004:0.823994:0.270004:0.823994:0.254251:0.793275:0.254251:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.767090:0.286352:0.776082:0.286352:0.776082:0.270599:0.767090:0.270599:0.000000
l t h:@0.730953:0.303297:0.772028:0.303297:0.772028:0.287545:0.730953:0.287545:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.734583:0.303187:0.815204:0.303187:0.815204:0.287406:0.734583:0.287406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.794768:0.303297:0.809510:0.303297:0.809510:0.287545:0.794768:0.287545:0.000000:0.000000:0.000000
h:@0.768582:0.319645:0.777575:0.319645:0.777575:0.303892:0.768582:0.303892:0.000000
l t h:@0.758047:0.417839:0.799122:0.417839:0.799122:0.402086:0.758047:0.402086:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.761677:0.417728:0.842298:0.417728:0.842298:0.401948:0.761677:0.401948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.821862:0.417839:0.836604:0.417839:0.836604:0.402086:0.821862:0.402086:0.000000:0.000000:0.000000
h:@0.795676:0.434186:0.804669:0.434186:0.804669:0.418434:0.795676:0.418434:0.000000
S t h:@0.668016:0.384419:0.712998:0.384419:0.712998:0.368666:0.668016:0.368666:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.675553:0.384308:0.760081:0.384308:0.760081:0.368527:0.675553:0.368527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t:@0.735738:0.384419:0.754386:0.384419:0.754386:0.368666:0.735738:0.368666:0.000000:0.000000:0.000000
h:@0.709552:0.400766:0.718545:0.400766:0.718545:0.385013:0.709552:0.385013:0.000000
V t h:@0.671693:0.547462:0.719421:0.547462:0.719421:0.531709:0.671693:0.531709:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.681976:0.547351:0.769249:0.547351:0.769249:0.531571:0.681976:0.531571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V t:@0.742161:0.547462:0.763555:0.547462:0.763555:0.531709:0.742161:0.531709:0.000000:0.000000:0.000000
h:@0.715975:0.563809:0.724968:0.563809:0.724968:0.548056:0.715975:0.548056:0.000000
l t h:@0.793530:0.580943:0.834605:0.580943:0.834605:0.565191:0.793530:0.565191:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.797160:0.580833:0.877781:0.580833:0.877781:0.565052:0.797160:0.565052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.857345:0.580943:0.872087:0.580943:0.872087:0.565191:0.857345:0.565191:0.000000:0.000000:0.000000
h:@0.831159:0.597291:0.840152:0.597291:0.840152:0.581538:0.831159:0.581538:0.000000
l t h:@0.798953:0.190427:0.840949:0.190427:0.840949:0.174674:0.798953:0.174674:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) –  ( ):@0.802583:0.190316:0.885047:0.190316:0.885047:0.174536:0.802583:0.174536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l t:@0.864610:0.190427:0.879353:0.190427:0.879353:0.174674:0.864610:0.174674:0.000000:0.000000:0.000000
h:@0.837503:0.206774:0.846496:0.206774:0.846496:0.191022:0.837503:0.191022:0.000000
dS t:@0.585777:0.384419:0.613197:0.384419:0.613197:0.368666:0.585777:0.368666:0.000000:0.000000:0.000000:0.000000
( ):@0.602085:0.384308:0.618891:0.384308:0.618891:0.368527:0.602085:0.368527:0.000000:0.000000:0.000000
dt:@0.595286:0.400766:0.609383:0.400766:0.609383:0.385013:0.595286:0.385013:0.000000:0.000000
dV t:@0.584405:0.547462:0.614571:0.547462:0.614571:0.531709:0.584405:0.531709:0.000000:0.000000:0.000000:0.000000
( ):@0.603459:0.547351:0.620265:0.547351:0.620265:0.531571:0.603459:0.531571:0.000000:0.000000:0.000000
dt:@0.595277:0.563809:0.609374:0.563809:0.609374:0.548056:0.595277:0.548056:0.000000:0.000000
dl t:@0.693892:0.611050:0.717295:0.611050:0.717295:0.595297:0.693892:0.595297:0.000000:0.000000:0.000000:0.000000
( ):@0.706183:0.610939:0.722989:0.610939:0.722989:0.595159:0.706183:0.595159:0.000000:0.000000:0.000000
dt:@0.701392:0.627397:0.715489:0.627397:0.715489:0.611644:0.701392:0.611644:0.000000:0.000000
dS t:@0.570675:0.673687:0.598095:0.673687:0.598095:0.657934:0.570675:0.657934:0.000000:0.000000:0.000000:0.000000
( ):@0.586983:0.673576:0.603789:0.673576:0.603789:0.657796:0.586983:0.657796:0.000000:0.000000:0.000000
dt:@0.580183:0.690034:0.594280:0.690034:0.594280:0.674282:0.580183:0.674282:0.000000:0.000000
dV t:@0.570963:0.707391:0.601129:0.707391:0.601129:0.691639:0.570963:0.691639:0.000000:0.000000:0.000000:0.000000
( ):@0.590017:0.707281:0.606823:0.707281:0.606823:0.691500:0.590017:0.691500:0.000000:0.000000:0.000000
dt:@0.581835:0.723739:0.595932:0.723739:0.595932:0.707986:0.581835:0.707986:0.000000:0.000000
dl t:@0.666587:0.673687:0.689990:0.673687:0.689990:0.657934:0.666587:0.657934:0.000000:0.000000:0.000000:0.000000
( ):@0.678878:0.673576:0.695684:0.673576:0.695684:0.657796:0.678878:0.657796:0.000000:0.000000:0.000000
dt:@0.674087:0.690034:0.688184:0.690034:0.688184:0.674282:0.674087:0.674282:0.000000:0.000000
dl t:@0.666587:0.707391:0.689990:0.707391:0.689990:0.691639:0.666587:0.691639:0.000000:0.000000:0.000000:0.000000
( ):@0.678878:0.707281:0.695684:0.707281:0.695684:0.691500:0.678878:0.691500:0.000000:0.000000:0.000000
dt:@0.674087:0.723739:0.688184:0.723739:0.688184:0.707986:0.674087:0.707986:0.000000:0.000000
dl t:@0.656827:0.830533:0.680230:0.830533:0.680230:0.814780:0.656827:0.814780:0.000000:0.000000:0.000000:0.000000
( ):@0.669118:0.830422:0.685924:0.830422:0.685924:0.814642:0.669118:0.814642:0.000000:0.000000:0.000000
dt:@0.664327:0.846880:0.678424:0.846880:0.678424:0.831128:0.664327:0.831128:0.000000:0.000000
dl t:@0.721937:0.830533:0.745340:0.830533:0.745340:0.814780:0.721937:0.814780:0.000000:0.000000:0.000000:0.000000
( ):@0.734228:0.830422:0.751034:0.830422:0.751034:0.814642:0.734228:0.814642:0.000000:0.000000:0.000000
dt:@0.729437:0.846880:0.743534:0.846880:0.743534:0.831128:0.729437:0.831128:0.000000:0.000000
dV:@0.716946:0.798050:0.736001:0.798050:0.736001:0.782298:0.716946:0.782298:0.000000:0.000000
dt:@0.719434:0.814398:0.733531:0.814398:0.733531:0.798645:0.719434:0.798645:0.000000:0.000000
cm:@0.777285:0.798050:0.798164:0.798050:0.798164:0.782298:0.777285:0.782298:0.000000:0.000000
3:@0.798164:0.791864:0.802902:0.791864:0.802902:0.782664:0.798164:0.782664:0.000000
s:@0.787044:0.814395:0.793143:0.814395:0.793143:0.798643:0.787044:0.798643:0.000000
cm:@0.831355:0.868242:0.852234:0.868242:0.852234:0.852489:0.831355:0.852489:0.000000:0.000000
2:@0.852232:0.862055:0.856970:0.862055:0.856970:0.852855:0.852232:0.852855:0.000000
s:@0.841114:0.884587:0.847213:0.884587:0.847213:0.868834:0.841114:0.868834:0.000000
1:@0.780147:0.830422:0.788273:0.830422:0.788273:0.814642:0.780147:0.814642:0.000000
120:@0.772020:0.846770:0.796400:0.846770:0.796400:0.830989:0.772020:0.830989:0.000000:0.000000:0.000000
1:@0.780147:0.868131:0.788273:0.868131:0.788273:0.852351:0.780147:0.852351:0.000000
120:@0.772020:0.884479:0.796400:0.884479:0.796400:0.868698:0.772020:0.868698:0.000000:0.000000:0.000000
cm:@0.806207:0.830533:0.827085:0.830533:0.827085:0.814780:0.806207:0.814780:0.000000:0.000000
s:@0.813596:0.846880:0.819696:0.846880:0.819696:0.831128:0.813596:0.831128:0.000000
dl t:@0.686321:0.452490:0.709725:0.452490:0.709725:0.436737:0.686321:0.436737:0.000000:0.000000:0.000000:0.000000
( ):@0.698613:0.452379:0.715419:0.452379:0.715419:0.436599:0.698613:0.436599:0.000000:0.000000:0.000000
dt:@0.693821:0.468837:0.707919:0.468837:0.707919:0.453085:0.693821:0.453085:0.000000:0.000000
h:@0.641413:0.399606:0.647545:0.399606:0.647545:0.388866:0.641413:0.388866:0.000000
→:@0.647545:0.398924:0.658292:0.398924:0.658292:0.388913:0.647545:0.388913:0.000000
0:@0.658290:0.399531:0.663830:0.399531:0.663830:0.388771:0.658290:0.388771:0.000000
h:@0.641416:0.562647:0.647547:0.562647:0.647547:0.551906:0.641416:0.551906:0.000000
→:@0.647545:0.561967:0.658292:0.561967:0.658292:0.551956:0.647545:0.551956:0.000000
0:@0.658290:0.562574:0.663830:0.562574:0.663830:0.551814:0.658290:0.551814:0.000000
h:@0.641416:0.596134:0.647547:0.596134:0.647547:0.585394:0.641416:0.585394:0.000000
→:@0.647545:0.595449:0.658292:0.595449:0.658292:0.585438:0.647545:0.585438:0.000000
0:@0.658290:0.596056:0.663830:0.596056:0.663830:0.585296:0.658290:0.585296:0.000000
h:@0.641943:0.432383:0.648075:0.432383:0.648075:0.421643:0.641943:0.421643:0.000000
→:@0.648081:0.431706:0.658828:0.431706:0.658828:0.421694:0.648081:0.421694:0.000000
0:@0.658826:0.432312:0.664367:0.432312:0.664367:0.421553:0.658826:0.421553:0.000000
k:@0.326904:0.913425:0.334791:0.913425:0.334791:0.897673:0.326904:0.897673:0.000000
2:@0.334791:0.907239:0.339529:0.907239:0.339529:0.898039:0.334791:0.898039:0.000000
 + 2 ( ) +  ( ) –  ( ):@0.339528:0.913315:0.480483:0.913315:0.480483:0.897534:0.339528:0.897534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kl t:@0.365917:0.913425:0.388214:0.913425:0.388214:0.897673:0.365917:0.897673:0.000000:0.000000:0.000000:0.000000
l t:@0.412170:0.913425:0.431648:0.913425:0.431648:0.897673:0.412170:0.897673:0.000000:0.000000:0.000000
2:@0.415799:0.907239:0.420536:0.907239:0.420536:0.898039:0.415799:0.898039:0.000000
l t k:@0.455309:0.913425:0.499683:0.913425:0.499683:0.897673:0.455309:0.897673:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.458939:0.907239:0.463677:0.907239:0.463677:0.898039:0.458939:0.898039:0.000000
h:@0.399199:0.929773:0.408191:0.929773:0.408191:0.914020:0.399199:0.914020:0.000000
k:@0.491796:0.929773:0.499683:0.929773:0.499683:0.914020:0.491796:0.914020:0.000000
dS t:@0.559739:0.868242:0.587159:0.868242:0.587159:0.852489:0.559739:0.852489:0.000000:0.000000:0.000000:0.000000
( ):@0.576047:0.868131:0.592853:0.868131:0.592853:0.852351:0.576047:0.852351:0.000000:0.000000:0.000000
dt:@0.569247:0.884589:0.583344:0.884589:0.583344:0.868836:0.569247:0.868836:0.000000:0.000000
dl t:@0.654294:0.868242:0.677697:0.868242:0.677697:0.852489:0.654294:0.852489:0.000000:0.000000:0.000000:0.000000
( ):@0.666585:0.868131:0.683391:0.868131:0.683391:0.852351:0.666585:0.852351:0.000000:0.000000:0.000000
dt:@0.661794:0.884589:0.675891:0.884589:0.675891:0.868836:0.661794:0.868836:0.000000:0.000000