77:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Interdisciplinariedad:@0.749488:0.094070:0.906694:0.094070:0.906694:0.077169:0.749488:0.077169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.754293:0.122152:0.855176:0.122152:0.855176:0.106788:0.754293:0.106788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Agricultura:@0.754293:0.135982:0.835607:0.135982:0.835607:0.120618:0.754293:0.120618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con mucha frecuencia,:@0.754293:0.153371:0.907877:0.153371:0.907877:0.138472:0.754293:0.138472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el problema de encontrar :@0.754293:0.167201:0.928182:0.167201:0.928182:0.152302:0.754293:0.152302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la mejor manera de :@0.754293:0.181031:0.887625:0.181031:0.887625:0.166132:0.754293:0.166132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprovechar la materia :@0.754293:0.194862:0.902164:0.194862:0.902164:0.179963:0.754293:0.179963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prima o los recursos con :@0.754293:0.208692:0.920357:0.208692:0.920357:0.193793:0.754293:0.193793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los que vamos a producir :@0.754293:0.222522:0.925953:0.222522:0.925953:0.207623:0.754293:0.207623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algo conlleva a considerar :@0.754293:0.236352:0.931431:0.236352:0.931431:0.221453:0.754293:0.221453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cociente incremental :@0.754293:0.250183:0.914628:0.250183:0.914628:0.235284:0.754293:0.235284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para, con la aplicación de :@0.754293:0.264013:0.926557:0.264013:0.926557:0.249114:0.754293:0.249114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la derivada, determinar la :@0.754293:0.277843:0.926135:0.277843:0.926135:0.262944:0.754293:0.262944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor superficie que se :@0.754293:0.291674:0.916756:0.291674:0.916756:0.276775:0.754293:0.276775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe cultivar, a fin de :@0.754293:0.305504:0.899836:0.305504:0.899836:0.290605:0.754293:0.290605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener los máximos :@0.754293:0.319334:0.898313:0.319334:0.898313:0.304435:0.754293:0.304435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos económicos de :@0.754293:0.333165:0.920393:0.333165:0.920393:0.318266:0.754293:0.318266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producción.:@0.754293:0.346995:0.834470:0.346995:0.834470:0.332096:0.754293:0.332096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.096359:0.753902:0.112612:0.753902:0.112612:0.737001:0.096359:0.737001:0.000000:0.000000
  ¿Cuál es la interpretación geomé-:@0.112612:0.753902:0.371261:0.753902:0.371261:0.737513:0.112612:0.737513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica de la derivada y qué significa :@0.124848:0.770498:0.376142:0.770498:0.376142:0.754109:0.124848:0.754109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.351062:0.770498:0.355098:0.770498:0.355098:0.754109:0.351062:0.754109:0.000000
T:@0.124848:0.787094:0.132975:0.787094:0.132975:0.770733:0.124848:0.770733:0.000000
’(2)?:@0.132975:0.787094:0.161962:0.787094:0.161962:0.770705:0.132975:0.770705:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.814382:0.100395:0.814382:0.100395:0.797993:0.096359:0.797993:0.000000
Graficamos la función y trazamos :@0.124852:0.814382:0.371285:0.814382:0.371285:0.797993:0.124852:0.797993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154613:0.814382:0.158648:0.814382:0.158648:0.797993:0.154613:0.797993:0.000000
la recta tangente en   = 2.:@0.124848:0.830978:0.312661:0.830978:0.312661:0.814589:0.124848:0.814589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.276027:0.830978:0.281408:0.830978:0.281408:0.814617:0.276027:0.814617:0.000000
  :@0.096359:0.858265:0.103988:0.858265:0.103988:0.841364:0.096359:0.841364:0.000000:0.000000
  En el minuto   = 2, la derivada es :@0.103988:0.858265:0.384129:0.858265:0.384129:0.841876:0.103988:0.841876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.228839:0.858265:0.234220:0.858265:0.234220:0.841904:0.228839:0.841904:0.000000
cero, (pendiente de la tangente en :@0.124848:0.874861:0.384123:0.874861:0.384123:0.858473:0.124848:0.858473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese punto cero), es decir la tempe-:@0.124848:0.891458:0.380106:0.891458:0.380106:0.875069:0.124848:0.875069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ratura no está cambiando.:@0.124848:0.908054:0.316234:0.908054:0.316234:0.891665:0.124848:0.891665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.546910:0.157756:0.546910:0.157756:0.531332:0.102121:0.531332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos T(t + ∆t):@0.157756:0.546910:0.291020:0.546910:0.291020:0.532011:0.157756:0.532011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.103258:0.571079:0.125067:0.571079:0.125067:0.556354:0.103258:0.556354:0.000000:0.000000
t:@0.150325:0.571079:0.155168:0.571079:0.155168:0.556354:0.150325:0.556354:0.000000
t:@0.188968:0.571079:0.193811:0.571079:0.193811:0.556354:0.188968:0.556354:0.000000
t:@0.219351:0.571079:0.224194:0.571079:0.224194:0.556354:0.219351:0.556354:0.000000
t:@0.272025:0.571079:0.276868:0.571079:0.276868:0.556354:0.272025:0.556354:0.000000
t:@0.302425:0.571079:0.307268:0.571079:0.307268:0.556354:0.302425:0.556354:0.000000
Tt:@0.103258:0.595165:0.125067:0.595165:0.125067:0.580440:0.103258:0.580440:0.000000:0.000000
t:@0.150325:0.595165:0.155168:0.595165:0.155168:0.580440:0.150325:0.580440:0.000000
t:@0.193396:0.595165:0.198239:0.595165:0.198239:0.580440:0.193396:0.580440:0.000000
t:@0.227080:0.595165:0.231923:0.595165:0.231923:0.580440:0.227080:0.580440:0.000000
t:@0.251294:0.595165:0.256137:0.595165:0.256137:0.580440:0.251294:0.580440:0.000000
t:@0.294348:0.595165:0.299191:0.595165:0.299191:0.580440:0.294348:0.580440:0.000000
+:@0.128566:0.570706:0.137671:0.570706:0.137671:0.555458:0.128566:0.555458:0.000000
(:@0.114142:0.572289:0.076643:0.572289:0.076643:0.552802:0.114142:0.552802:0.000000
):@0.157163:0.572289:0.119664:0.572289:0.119664:0.552802:0.157163:0.552802:0.000000
=:@0.165545:0.570705:0.174650:0.570705:0.174650:0.555457:0.165545:0.555457:0.000000
+ ∆:@0.197301:0.570705:0.189924:0.570705:0.189924:0.555457:0.197301:0.555457:0.000000:0.000000:0.000000
−:@0.238750:0.570705:0.219412:0.570705:0.219412:0.555457:0.238750:0.555457:0.000000
+∆ +:@0.280362:0.570705:0.326175:0.570705:0.326175:0.555457:0.280362:0.555457:0.000000:0.000000:0.000000:0.000000
(:@0.265950:0.572289:0.228170:0.572289:0.228170:0.552802:0.265950:0.552802:0.000000
):@0.309253:0.572289:0.271473:0.572289:0.271473:0.552802:0.309253:0.552802:0.000000
+:@0.128566:0.594791:0.137672:0.594791:0.137672:0.579543:0.128566:0.579543:0.000000
(:@0.114142:0.596361:0.076643:0.596361:0.076643:0.576874:0.114142:0.576874:0.000000
):@0.157163:0.596361:0.119664:0.596361:0.119664:0.576874:0.157163:0.576874:0.000000
= :@0.165545:0.594795:0.193447:0.592532:0.193447:0.577284:0.165545:0.579547:0.000000:0.000000:0.000000
+:@0.208363:0.594795:0.217469:0.594795:0.217469:0.579547:0.208363:0.579547:0.000000
∆ +∆:@0.241205:0.594795:0.294426:0.594795:0.294426:0.579547:0.241205:0.579547:0.000000:0.000000:0.000000:0.000000
(:@0.234335:0.596361:0.216059:0.596361:0.216059:0.576874:0.234335:0.576874:0.000000
):@0.258134:0.596361:0.239858:0.596361:0.239858:0.576874:0.258134:0.576874:0.000000
(:@0.277399:0.596361:0.259122:0.596361:0.259122:0.576874:0.277399:0.576874:0.000000
):@0.301198:0.596361:0.282922:0.596361:0.282922:0.576874:0.301198:0.576874:0.000000
:@0.187078:0.601332:0.193447:0.601332:0.193447:0.586084:0.187078:0.586084:0.000000
 −:@0.313903:0.592532:0.332395:0.594785:0.332395:0.579537:0.313903:0.577284:0.000000:0.000000:0.000000
:@0.313903:0.601332:0.320271:0.601332:0.320271:0.586084:0.313903:0.586084:0.000000
3(:@0.177260:0.571073:0.188929:0.571079:0.188929:0.556329:0.177260:0.556323:0.000000:0.000000
12:@0.248873:0.571073:0.264977:0.571073:0.264977:0.556323:0.248873:0.556323:0.000000:0.000000
30:@0.328497:0.571073:0.344601:0.571073:0.344601:0.556323:0.328497:0.556323:0.000000:0.000000
3:@0.177260:0.595158:0.185353:0.595158:0.185353:0.580408:0.177260:0.580408:0.000000
2:@0.219800:0.595158:0.227894:0.595158:0.227894:0.580408:0.219800:0.580408:0.000000
12 2:@0.333407:0.595158:0.349520:0.595165:0.349520:0.580415:0.333407:0.580408:0.000000:0.000000:0.000000:0.000000
2:@0.229859:0.564192:0.234549:0.564192:0.234549:0.555643:0.229859:0.555643:0.000000
2:@0.199467:0.588271:0.204157:0.588271:0.204157:0.579723:0.199467:0.579723:0.000000
2:@0.306752:0.586533:0.311443:0.586533:0.311443:0.577984:0.306752:0.577984:0.000000
):@0.225614:0.571079:0.230009:0.571079:0.230009:0.556329:0.225614:0.556329:0.000000
30:@0.413040:0.595165:0.429144:0.595165:0.429144:0.580415:0.413040:0.580415:0.000000:0.000000
3:@0.177253:0.621603:0.185346:0.621603:0.185346:0.606853:0.177253:0.606853:0.000000
6:@0.211186:0.621603:0.219279:0.621603:0.219279:0.606853:0.211186:0.606853:0.000000
3:@0.269282:0.621603:0.277376:0.621603:0.277376:0.606853:0.269282:0.606853:0.000000
12:@0.326716:0.621603:0.342820:0.621603:0.342820:0.606853:0.326716:0.606853:0.000000:0.000000
12:@0.360449:0.621603:0.376553:0.621602:0.376553:0.606852:0.360449:0.606853:0.000000:0.000000
30:@0.420569:0.621602:0.436673:0.621602:0.436673:0.606852:0.420569:0.606852:0.000000:0.000000
2:@0.190611:0.614724:0.195302:0.614724:0.195302:0.606175:0.190611:0.606175:0.000000
2:@0.307691:0.612993:0.312382:0.612993:0.312382:0.604444:0.307691:0.604444:0.000000
t:@0.356542:0.595169:0.361385:0.595169:0.361385:0.580443:0.356542:0.580443:0.000000
t:@0.386926:0.595169:0.391768:0.595169:0.391768:0.580443:0.386926:0.580443:0.000000
Tt:@0.103258:0.621607:0.125067:0.621607:0.125067:0.606882:0.103258:0.606882:0.000000:0.000000
t:@0.150327:0.621607:0.155170:0.621607:0.155170:0.606882:0.150327:0.606882:0.000000
t:@0.184541:0.621607:0.189384:0.621607:0.189384:0.606882:0.184541:0.606882:0.000000
t:@0.218955:0.621607:0.223798:0.621607:0.223798:0.606882:0.218955:0.606882:0.000000
t:@0.243169:0.621607:0.248012:0.621607:0.248012:0.606882:0.243169:0.606882:0.000000
t:@0.295279:0.621607:0.300121:0.621607:0.300121:0.606882:0.295279:0.606882:0.000000
t:@0.341965:0.621607:0.346808:0.621607:0.346808:0.606882:0.341965:0.606882:0.000000
t:@0.394456:0.621607:0.399299:0.621607:0.399299:0.606882:0.394456:0.606882:0.000000
+∆ +:@0.364885:0.594796:0.410703:0.594795:0.410703:0.579547:0.364885:0.579548:0.000000:0.000000:0.000000:0.000000
(:@0.350476:0.596361:0.312696:0.596361:0.312696:0.576874:0.350476:0.576874:0.000000
):@0.393779:0.596361:0.355999:0.596361:0.355999:0.576874:0.393779:0.576874:0.000000
+:@0.128561:0.621233:0.137666:0.621233:0.137666:0.605985:0.128561:0.605985:0.000000
(:@0.114142:0.622821:0.076643:0.622821:0.076643:0.603334:0.114142:0.603334:0.000000
):@0.157163:0.622821:0.119664:0.622821:0.119664:0.603334:0.157163:0.603334:0.000000
=:@0.165545:0.621237:0.174650:0.621237:0.174650:0.605990:0.165545:0.605990:0.000000
+:@0.199507:0.621237:0.208612:0.621237:0.208612:0.605990:0.199507:0.605990:0.000000
∆ +:@0.233095:0.621237:0.239557:0.621237:0.239557:0.605990:0.233095:0.605990:0.000000:0.000000:0.000000
(:@0.226230:0.622821:0.207954:0.622821:0.207954:0.603334:0.226230:0.603334:0.000000
):@0.250030:0.622821:0.231753:0.622821:0.231753:0.603334:0.250030:0.603334:0.000000
∆:@0.285215:0.621237:0.266939:0.621237:0.266939:0.605990:0.285215:0.605990:0.000000
(:@0.278342:0.622821:0.260065:0.622821:0.260065:0.603334:0.278342:0.603334:0.000000
):@0.302141:0.622821:0.283865:0.622821:0.283865:0.603334:0.302141:0.603334:0.000000
−:@0.316599:0.621237:0.291971:0.621237:0.291971:0.605990:0.316599:0.605990:0.000000
−:@0.350333:0.621237:0.325704:0.621237:0.325704:0.605990:0.350333:0.605990:0.000000
∆ +:@0.384398:0.621237:0.418241:0.621237:0.418241:0.605990:0.384398:0.605990:0.000000:0.000000:0.000000
(:@0.377521:0.622821:0.359245:0.622821:0.359245:0.603334:0.377521:0.603334:0.000000
):@0.401320:0.622821:0.383044:0.622821:0.383044:0.603334:0.401320:0.603334:0.000000
Paso 3.:@0.517633:0.546910:0.569884:0.546910:0.569884:0.531332:0.517633:0.531332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos en la derivada por incrementos:@0.569884:0.546910:0.887002:0.546910:0.887002:0.532011:0.569884:0.532011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y calculamos el límite.:@0.517633:0.561997:0.662940:0.561997:0.662940:0.547098:0.517633:0.547098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.523493:0.592243:0.546198:0.592243:0.546198:0.577518:0.523493:0.577518:0.000000:0.000000
t:@0.601989:0.583293:0.606832:0.583293:0.606832:0.568568:0.601989:0.568568:0.000000
t:@0.626203:0.583293:0.631046:0.583293:0.631046:0.568568:0.626203:0.568568:0.000000
t:@0.678314:0.583293:0.683157:0.583293:0.683157:0.568568:0.678314:0.568568:0.000000
t:@0.743758:0.583293:0.748600:0.583293:0.748600:0.568568:0.743758:0.568568:0.000000
t:@0.677185:0.602002:0.682027:0.602002:0.682027:0.587277:0.677185:0.587277:0.000000
Tt:@0.523493:0.631888:0.546197:0.631888:0.546197:0.617163:0.523493:0.617163:0.000000:0.000000
t:@0.613714:0.620847:0.618557:0.620847:0.618557:0.606122:0.613714:0.606122:0.000000
t:@0.645425:0.620847:0.650267:0.620847:0.650267:0.606122:0.645425:0.606122:0.000000
t:@0.691215:0.620847:0.696058:0.620847:0.696058:0.606122:0.691215:0.606122:0.000000
t:@0.572730:0.598158:0.575537:0.598158:0.575537:0.589624:0.572730:0.589624:0.000000
t:@0.572730:0.637790:0.575537:0.637790:0.575537:0.629256:0.572730:0.629256:0.000000
’( )lim:@0.534094:0.592243:0.589089:0.592243:0.589089:0.577493:0.534094:0.577493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
’( )lim:@0.534094:0.631887:0.589089:0.631887:0.589089:0.617137:0.534094:0.617137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.554676:0.591869:0.563781:0.591869:0.563781:0.576621:0.554676:0.576621:0.000000
∆ +:@0.616123:0.582920:0.622582:0.582922:0.622582:0.567675:0.616123:0.567672:0.000000:0.000000:0.000000
(:@0.609245:0.584497:0.590969:0.584497:0.590969:0.565010:0.609245:0.565010:0.000000
):@0.633045:0.584497:0.614768:0.584497:0.614768:0.565010:0.633045:0.565010:0.000000
∆:@0.668240:0.582922:0.649964:0.582922:0.649964:0.567675:0.668240:0.567675:0.000000
(:@0.661355:0.584497:0.643079:0.584497:0.643079:0.565010:0.661355:0.565010:0.000000
):@0.685155:0.584497:0.666878:0.584497:0.666878:0.565010:0.685155:0.565010:0.000000
−:@0.699613:0.582922:0.674653:0.582922:0.674653:0.567675:0.699613:0.567675:0.000000
∆:@0.733678:0.582922:0.708718:0.582922:0.708718:0.567675:0.733678:0.567675:0.000000
(:@0.726799:0.584497:0.708522:0.584497:0.708522:0.565010:0.726799:0.565010:0.000000
):@0.750598:0.584497:0.732321:0.584497:0.732321:0.565010:0.750598:0.565010:0.000000
=:@0.554684:0.631510:0.563790:0.631510:0.563790:0.616262:0.554684:0.616262:0.000000
∆:@0.603643:0.620469:0.613793:0.620469:0.613793:0.605221:0.603643:0.605221:0.000000
(:@0.596760:0.622052:0.578483:0.622052:0.578483:0.602565:0.596760:0.602565:0.000000
):@0.620559:0.622052:0.602283:0.622052:0.602283:0.602565:0.620559:0.602565:0.000000
+ :@0.653770:0.620468:0.637185:0.620580:0.637185:0.605332:0.653770:0.605220:0.000000:0.000000:0.000000
∆:@0.681151:0.620468:0.662875:0.620468:0.662875:0.605220:0.681151:0.605220:0.000000
→:@0.576546:0.597941:0.586033:0.597941:0.586033:0.589104:0.576546:0.589104:0.000000
→:@0.576546:0.637574:0.586033:0.637574:0.586033:0.628737:0.576546:0.628737:0.000000
0:@0.586254:0.598158:0.590945:0.598158:0.590945:0.589609:0.586254:0.589609:0.000000
2:@0.690714:0.574670:0.695404:0.574670:0.695404:0.566121:0.690714:0.566121:0.000000
0:@0.586254:0.637790:0.590945:0.637790:0.590945:0.629242:0.586254:0.629242:0.000000
6:@0.594215:0.583296:0.602308:0.583296:0.602308:0.568546:0.594215:0.568546:0.000000
3:@0.652312:0.583296:0.660405:0.583296:0.660405:0.568546:0.652312:0.568546:0.000000
12:@0.709745:0.583296:0.725849:0.583296:0.725849:0.568546:0.709745:0.568546:0.000000:0.000000
6:@0.637651:0.620837:0.645744:0.620837:0.645744:0.606087:0.637651:0.606087:0.000000
3:@0.665215:0.620837:0.673308:0.620837:0.673308:0.606087:0.665215:0.606087:0.000000
( (:@0.674265:0.622052:0.655988:0.622052:0.655988:0.602565:0.674265:0.602565:0.000000:0.000000:0.000000
):@0.698064:0.622052:0.679787:0.622052:0.679787:0.602565:0.698064:0.602565:0.000000
−:@0.705880:0.620468:0.714985:0.620468:0.714985:0.605220:0.705880:0.605220:0.000000
:@0.630817:0.624650:0.637185:0.624650:0.637185:0.609402:0.630817:0.609402:0.000000
:@0.732382:0.620580:0.738751:0.620580:0.738751:0.605332:0.732382:0.605332:0.000000
:@0.732382:0.624650:0.738751:0.624650:0.738751:0.609402:0.732382:0.609402:0.000000
=:@0.554676:0.659328:0.563781:0.659328:0.563781:0.644080:0.554676:0.644080:0.000000
−:@0.582750:0.659328:0.591855:0.659328:0.591855:0.644080:0.582750:0.644080:0.000000
=:@0.556749:0.679032:0.565854:0.679032:0.565854:0.663785:0.556749:0.663785:0.000000
():@0.578290:0.680602:0.598789:0.680602:0.598789:0.661115:0.578290:0.661115:0.000000:0.000000
−:@0.601094:0.679036:0.581358:0.679036:0.581358:0.663788:0.601094:0.663788:0.000000
=:@0.629935:0.679036:0.610199:0.679036:0.610199:0.663788:0.629935:0.663788:0.000000
12:@0.716010:0.620845:0.732114:0.620845:0.732114:0.606095:0.716010:0.606095:0.000000:0.000000
6:@0.566647:0.659705:0.574740:0.659705:0.574740:0.644955:0.566647:0.644955:0.000000
12:@0.592884:0.659705:0.608988:0.659705:0.608988:0.644955:0.592884:0.644955:0.000000:0.000000
2 ’( ):@0.541620:0.679409:0.554059:0.679409:0.554059:0.664659:0.541620:0.664659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 2:@0.568720:0.679409:0.592735:0.679409:0.592735:0.664659:0.568720:0.664659:0.000000:0.000000:0.000000
120:@0.611210:0.679409:0.649737:0.679409:0.649737:0.664659:0.611210:0.664659:0.000000:0.000000:0.000000
t:@0.668876:0.641880:0.673719:0.641880:0.673719:0.627155:0.668876:0.627155:0.000000
Tt:@0.523476:0.659705:0.546181:0.659705:0.546181:0.644980:0.523476:0.644980:0.000000:0.000000
t:@0.574409:0.659705:0.579251:0.659705:0.579251:0.644980:0.574409:0.644980:0.000000
T:@0.523476:0.679409:0.530790:0.679409:0.530790:0.664684:0.523476:0.664684:0.000000
’( ):@0.534074:0.659705:0.551986:0.659705:0.551986:0.644955:0.534074:0.644955:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.645825:0.154372:0.645825:0.154372:0.630247:0.102121:0.630247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Restamos  (  +∆ ) –  ( ):@0.154372:0.645825:0.311778:0.645825:0.311778:0.630926:0.154372:0.630926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T t:@0.226290:0.645825:0.243009:0.645825:0.243009:0.630951:0.226290:0.630951:0.000000:0.000000:0.000000
t:@0.265574:0.645825:0.270466:0.645825:0.270466:0.630951:0.265574:0.630951:0.000000
T t:@0.290619:0.645825:0.307338:0.645825:0.307338:0.630951:0.290619:0.630951:0.000000:0.000000:0.000000
3:@0.107163:0.671596:0.115256:0.671596:0.115256:0.656846:0.107163:0.656846:0.000000
6:@0.143865:0.671596:0.151958:0.671596:0.151958:0.656846:0.143865:0.656846:0.000000
3:@0.201962:0.671596:0.210055:0.671596:0.210055:0.656846:0.201962:0.656846:0.000000
12:@0.260523:0.671596:0.276627:0.671596:0.276627:0.656846:0.260523:0.656846:0.000000:0.000000
12:@0.297043:0.671596:0.313144:0.671596:0.313144:0.656846:0.297043:0.656846:0.000000:0.000000
30:@0.359946:0.671596:0.376044:0.671596:0.376044:0.656846:0.359946:0.656846:0.000000:0.000000
3:@0.116723:0.695047:0.124816:0.695047:0.124816:0.680297:0.116723:0.680297:0.000000
12:@0.154934:0.695047:0.171038:0.695047:0.171038:0.680297:0.154934:0.680297:0.000000:0.000000
30:@0.191073:0.695047:0.207177:0.695047:0.207177:0.680297:0.191073:0.680297:0.000000:0.000000
6:@0.116872:0.717116:0.124966:0.717116:0.124966:0.702366:0.116872:0.702366:0.000000
3:@0.174969:0.717116:0.183062:0.717116:0.183062:0.702366:0.174969:0.702366:0.000000
12:@0.232402:0.717116:0.248504:0.717107:0.248504:0.702357:0.232402:0.702366:0.000000:0.000000
2:@0.120496:0.664700:0.125186:0.664700:0.125186:0.656152:0.120496:0.656152:0.000000
2:@0.240363:0.662969:0.245054:0.662969:0.245054:0.654421:0.240363:0.654421:0.000000
2:@0.130069:0.688145:0.134759:0.688145:0.134759:0.679597:0.130069:0.679597:0.000000
2:@0.213374:0.708481:0.218064:0.708481:0.218064:0.699932:0.213374:0.699932:0.000000
t:@0.114419:0.671596:0.119261:0.671596:0.119261:0.656871:0.114419:0.656871:0.000000
t:@0.151635:0.671596:0.156478:0.671596:0.156478:0.656871:0.151635:0.656871:0.000000
t:@0.175865:0.671596:0.180708:0.671596:0.180708:0.656871:0.175865:0.656871:0.000000
t:@0.227975:0.671596:0.232818:0.671596:0.232818:0.656871:0.227975:0.656871:0.000000
t:@0.275791:0.671596:0.280633:0.671596:0.280633:0.656871:0.275791:0.656871:0.000000
t:@0.331051:0.671596:0.335894:0.671596:0.335894:0.656871:0.331051:0.656871:0.000000
t:@0.123984:0.695041:0.128826:0.695041:0.128826:0.680316:0.123984:0.680316:0.000000
t:@0.170206:0.695041:0.175048:0.695041:0.175048:0.680316:0.170206:0.680316:0.000000
t:@0.124647:0.717110:0.129490:0.717110:0.129490:0.702385:0.124647:0.702385:0.000000
t:@0.148861:0.717110:0.153704:0.717110:0.153704:0.702385:0.148861:0.702385:0.000000
t:@0.200971:0.717110:0.205813:0.717110:0.205813:0.702385:0.200971:0.702385:0.000000
+:@0.132177:0.671229:0.141282:0.671229:0.141282:0.655981:0.132177:0.655981:0.000000
∆ +:@0.165778:0.671229:0.199616:0.671223:0.199616:0.655975:0.165778:0.655981:0.000000:0.000000:0.000000
( ):@0.158896:0.672797:0.188218:0.672797:0.188218:0.653311:0.158896:0.653311:0.000000:0.000000:0.000000
∆:@0.217892:0.671223:0.228042:0.671223:0.228042:0.655975:0.217892:0.655975:0.000000
( ):@0.211007:0.672797:0.240329:0.672797:0.240329:0.653311:0.211007:0.653311:0.000000:0.000000:0.000000
−:@0.251479:0.671223:0.260585:0.671223:0.260585:0.655975:0.251479:0.655975:0.000000
−:@0.286905:0.671223:0.296010:0.671223:0.296010:0.655975:0.286905:0.655975:0.000000
∆ +:@0.320970:0.671223:0.354817:0.671223:0.354817:0.655975:0.320970:0.655975:0.000000:0.000000:0.000000
( ):@0.314097:0.672797:0.343419:0.672797:0.343419:0.653311:0.314097:0.653311:0.000000:0.000000:0.000000
−:@0.107686:0.694673:0.116791:0.694673:0.116791:0.679425:0.107686:0.679425:0.000000
+:@0.141751:0.694673:0.150856:0.694673:0.150856:0.679425:0.141751:0.679425:0.000000
−:@0.182036:0.694673:0.191141:0.694673:0.191141:0.679425:0.182036:0.679425:0.000000
=:@0.104899:0.716742:0.114004:0.716742:0.114004:0.701494:0.104899:0.701494:0.000000
∆ +:@0.138782:0.716742:0.172619:0.716733:0.172619:0.701485:0.138782:0.701494:0.000000:0.000000:0.000000
( ):@0.131899:0.718308:0.161221:0.718308:0.161221:0.698821:0.131899:0.698821:0.000000:0.000000:0.000000
∆:@0.190896:0.716733:0.201046:0.716733:0.201046:0.701485:0.190896:0.701485:0.000000
( ):@0.184009:0.718308:0.213331:0.718308:0.213331:0.698821:0.184009:0.698821:0.000000:0.000000:0.000000
−:@0.222267:0.716733:0.231372:0.716733:0.231372:0.701485:0.222267:0.701485:0.000000
2:@0.240410:0.717107:0.248504:0.717107:0.248504:0.702357:0.240410:0.702357:0.000000
∆:@0.256332:0.716733:0.266482:0.716733:0.266482:0.701485:0.256332:0.701485:0.000000
( ):@0.249454:0.718308:0.278776:0.718308:0.278776:0.698821:0.249454:0.698821:0.000000:0.000000:0.000000
t:@0.266416:0.717107:0.271259:0.717107:0.271259:0.702382:0.266416:0.702382:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos nuestro problema inicial.:@0.096359:0.133880:0.368661:0.133880:0.368661:0.117491:0.096359:0.117491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.159438:0.110585:0.159438:0.110585:0.142538:0.096359:0.142538:0.000000:0.000000
  Sea la función de la temperatura  () 3:@0.110585:0.159438:0.420622:0.158861:0.420622:0.142472:0.110585:0.143049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.368756:0.158857:0.389156:0.158857:0.389156:0.142496:0.368756:0.142496:0.000000:0.000000
t:@0.419699:0.158861:0.425080:0.158861:0.425080:0.142500:0.419699:0.142500:0.000000
t:@0.464570:0.158861:0.469951:0.158861:0.469951:0.142500:0.464570:0.142500:0.000000
=:@0.398601:0.158446:0.408717:0.158446:0.408717:0.141504:0.398601:0.141504:0.000000
−:@0.436340:0.158446:0.446457:0.158446:0.446457:0.141504:0.436340:0.141504:0.000000
+:@0.473822:0.158446:0.483939:0.158446:0.483939:0.141504:0.473822:0.141504:0.000000
12:@0.447600:0.158861:0.465495:0.158861:0.465495:0.142472:0.447600:0.142472:0.000000:0.000000
30 .:@0.486557:0.158861:0.510488:0.159436:0.510488:0.143047:0.486557:0.142472:0.000000:0.000000:0.000000:0.000000
2:@0.426452:0.151199:0.431663:0.151199:0.431663:0.141701:0.426452:0.141701:0.000000
a):@0.096364:0.180499:0.111880:0.180499:0.111880:0.163364:0.096364:0.163364:0.000000:0.000000
  ¿Cuál es la razón de cambio :@0.111880:0.180499:0.331834:0.180499:0.331834:0.164110:0.111880:0.164110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promedio de la temperatura entre :@0.124853:0.197096:0.379667:0.197096:0.379667:0.180707:0.124853:0.180707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los minutos   = 2 y   = 4?:@0.124853:0.213692:0.304429:0.213692:0.304429:0.197303:0.124853:0.197303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.214373:0.213692:0.219754:0.213692:0.219754:0.197331:0.214373:0.197331:0.000000
t:@0.263980:0.213692:0.269361:0.213692:0.269361:0.197331:0.263980:0.197331:0.000000
 :@0.096364:0.237411:0.100400:0.237411:0.100400:0.221022:0.096364:0.221022:0.000000
Reemplazamos en la ecuación de :@0.124857:0.237411:0.374514:0.237411:0.374514:0.221022:0.124857:0.221022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura.:@0.124853:0.254007:0.219866:0.254007:0.219866:0.237619:0.124853:0.237619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.140002:0.273073:0.148129:0.273073:0.148129:0.256712:0.140002:0.256712:0.000000
t:@0.142048:0.292685:0.147429:0.292685:0.147429:0.276323:0.142048:0.276323:0.000000
T:@0.169579:0.271898:0.177705:0.271898:0.177705:0.255536:0.169579:0.255536:0.000000
T:@0.220255:0.271898:0.228381:0.271898:0.228381:0.255536:0.220255:0.255536:0.000000
T:@0.126753:0.313942:0.134879:0.313942:0.134879:0.297581:0.126753:0.297581:0.000000
T:@0.126753:0.339611:0.134879:0.339611:0.134879:0.323250:0.126753:0.323250:0.000000
=:@0.155389:0.281441:0.165506:0.281441:0.165506:0.264498:0.155389:0.264498:0.000000
():@0.181674:0.273239:0.205611:0.273239:0.205611:0.251587:0.181674:0.251587:0.000000:0.000000
−:@0.208164:0.271480:0.218281:0.271480:0.218281:0.254538:0.208164:0.254538:0.000000
−:@0.205179:0.292267:0.215296:0.292267:0.215296:0.275325:0.205179:0.275325:0.000000
=:@0.160031:0.313524:0.170148:0.313524:0.170148:0.296582:0.160031:0.296582:0.000000
():@0.183140:0.315281:0.207077:0.315281:0.207077:0.293628:0.183140:0.293628:0.000000:0.000000
−:@0.217011:0.313521:0.227128:0.313521:0.227128:0.296578:0.217011:0.296578:0.000000
():@0.247218:0.315281:0.271155:0.315281:0.271155:0.293628:0.247218:0.293628:0.000000:0.000000
+:@0.273708:0.313521:0.249752:0.313521:0.249752:0.296578:0.273708:0.296578:0.000000
=:@0.307781:0.313521:0.283825:0.313521:0.283825:0.296578:0.307781:0.296578:0.000000
=:@0.158904:0.339190:0.169021:0.339190:0.169021:0.322248:0.158904:0.322248:0.000000
():@0.181989:0.340937:0.204765:0.340937:0.204765:0.319285:0.181989:0.319285:0.000000:0.000000
−:@0.214708:0.339187:0.224825:0.339187:0.224825:0.322245:0.214708:0.322245:0.000000
():@0.244914:0.340937:0.267691:0.340937:0.267691:0.319285:0.244914:0.319285:0.000000:0.000000
+:@0.270239:0.339187:0.280356:0.339187:0.280356:0.322245:0.270239:0.322245:0.000000
4:@0.189323:0.271889:0.198316:0.271889:0.198316:0.255500:0.189323:0.255500:0.000000
2 ():@0.235595:0.271889:0.249434:0.271895:0.249434:0.255506:0.235595:0.255500:0.000000:0.000000:0.000000:0.000000
42:@0.193359:0.292676:0.226584:0.292676:0.226584:0.276287:0.193359:0.276287:0.000000:0.000000
4 ():@0.142683:0.313933:0.157075:0.313939:0.157075:0.297550:0.142683:0.297544:0.000000:0.000000:0.000000:0.000000
3 4:@0.173107:0.313933:0.199790:0.313933:0.199790:0.297544:0.173107:0.297544:0.000000:0.000000:0.000000
124:@0.228279:0.313933:0.263863:0.313933:0.263863:0.297544:0.228279:0.297544:0.000000:0.000000:0.000000
30 30:@0.286437:0.313933:0.338716:0.313933:0.338716:0.297544:0.286437:0.297544:0.000000:0.000000:0.000000:0.000000:0.000000
2 ():@0.142093:0.339602:0.155932:0.339608:0.155932:0.323219:0.142093:0.323213:0.000000:0.000000:0.000000:0.000000
3 2:@0.171927:0.339602:0.198039:0.339602:0.198039:0.323213:0.171927:0.323213:0.000000:0.000000:0.000000
122:@0.225957:0.339602:0.260970:0.339602:0.260970:0.323213:0.225957:0.323213:0.000000:0.000000:0.000000
30 18:@0.282972:0.339602:0.334131:0.339602:0.334131:0.323213:0.282972:0.323213:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.207117:0.304358:0.212329:0.304358:0.212329:0.294860:0.207117:0.294860:0.000000
2:@0.204811:0.330015:0.210022:0.330015:0.210022:0.320517:0.204811:0.320517:0.000000
= =:@0.304333:0.339187:0.314450:0.339187:0.314450:0.322245:0.304333:0.322245:0.000000:0.000000:0.000000
=:@0.155401:0.369835:0.165518:0.369835:0.165518:0.352893:0.155401:0.352893:0.000000
−:@0.190635:0.361067:0.200752:0.361067:0.200752:0.344125:0.190635:0.344125:0.000000
=:@0.224707:0.369835:0.234824:0.369835:0.234824:0.352893:0.224707:0.352893:0.000000
30 18:@0.169922:0.361482:0.219806:0.361482:0.219806:0.345093:0.169922:0.345093:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.190653:0.381093:0.199646:0.381093:0.199646:0.364704:0.190653:0.364704:0.000000
6:@0.238031:0.370264:0.247023:0.370264:0.247023:0.353875:0.238031:0.353875:0.000000
T:@0.140032:0.361495:0.148159:0.361495:0.148159:0.345134:0.140032:0.345134:0.000000
t:@0.142078:0.381107:0.147459:0.381107:0.147459:0.364746:0.142078:0.364746:0.000000
 :@0.096359:0.399898:0.100395:0.399898:0.100395:0.383509:0.096359:0.383509:0.000000
La temperatura aumentó 6 °C por :@0.124852:0.399898:0.375261:0.399898:0.375261:0.383509:0.124852:0.383509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minuto, en promedio, entre los :@0.124848:0.416495:0.355763:0.416495:0.355763:0.400106:0.124848:0.400106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minutos 2 y 4.:@0.124848:0.433091:0.227122:0.433091:0.227122:0.416702:0.124848:0.416702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.418677:0.180494:0.435335:0.180494:0.435335:0.163359:0.418677:0.163359:0.000000:0.000000
  ¿Cuál es la razón de cambio :@0.435335:0.180494:0.654147:0.180494:0.654147:0.164105:0.435335:0.164105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promedio entre   = 2 y   = 2 + ∆ ?:@0.447166:0.197091:0.691128:0.197091:0.691128:0.180702:0.447166:0.180702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.566833:0.197091:0.572214:0.197091:0.572214:0.180729:0.566833:0.180729:0.000000
t:@0.616440:0.197091:0.621821:0.197091:0.621821:0.180729:0.616440:0.180729:0.000000
t:@0.678726:0.197091:0.684107:0.197091:0.684107:0.180729:0.678726:0.180729:0.000000
 :@0.418677:0.220810:0.422713:0.220810:0.422713:0.204421:0.418677:0.204421:0.000000
Elaboramos una tabla de valores  :@0.447170:0.220810:0.692677:0.220810:0.692677:0.204421:0.447170:0.204421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.449359:0.238665:0.469758:0.238665:0.469758:0.222303:0.449359:0.222303:0.000000:0.000000
t:@0.500306:0.238675:0.505687:0.238675:0.505687:0.222313:0.500306:0.222313:0.000000
t:@0.545177:0.238675:0.550558:0.238675:0.550558:0.222313:0.545177:0.222313:0.000000
() 3:@0.459472:0.238675:0.501229:0.238675:0.501229:0.222286:0.459472:0.222286:0.000000:0.000000:0.000000:0.000000
=:@0.479208:0.238260:0.489325:0.238260:0.489325:0.221318:0.479208:0.221318:0.000000
−:@0.516948:0.238260:0.527065:0.238260:0.527065:0.221318:0.516948:0.221318:0.000000
+:@0.554430:0.238260:0.564547:0.238260:0.564547:0.221318:0.554430:0.221318:0.000000
12:@0.528207:0.238675:0.546102:0.238675:0.546102:0.222286:0.528207:0.222286:0.000000:0.000000
30:@0.567165:0.238675:0.585052:0.238675:0.585052:0.222286:0.567165:0.222286:0.000000:0.000000
2:@0.507061:0.231012:0.512272:0.231012:0.512272:0.221514:0.507061:0.221514:0.000000
t:@0.473125:0.272443:0.478704:0.272443:0.478704:0.257079:0.473125:0.257079:0.000000
∆t:@0.525292:0.272443:0.540520:0.272443:0.540520:0.257079:0.525292:0.257079:0.000000:0.000000
T:@0.587156:0.263694:0.594470:0.263694:0.594470:0.248969:0.587156:0.248969:0.000000
t:@0.636297:0.263694:0.641139:0.263694:0.641139:0.248969:0.636297:0.248969:0.000000
f:@0.662119:0.263694:0.666348:0.263694:0.666348:0.248969:0.662119:0.248969:0.000000
t:@0.638652:0.282415:0.643495:0.282415:0.643495:0.267690:0.638652:0.267690:0.000000
2:@0.604405:0.263694:0.612498:0.263694:0.612498:0.248944:0.604405:0.248944:0.000000
2 ():@0.673331:0.263694:0.685780:0.263694:0.685780:0.248944:0.673331:0.248944:0.000000:0.000000:0.000000:0.000000
+:@0.614538:0.263321:0.623643:0.263321:0.623643:0.248073:0.614538:0.248073:0.000000
(:@0.598040:0.264904:0.558468:0.264904:0.558468:0.245417:0.598040:0.245417:0.000000
):@0.643134:0.264904:0.603562:0.264904:0.603562:0.245417:0.643134:0.245417:0.000000
−:@0.650952:0.263320:0.660057:0.263320:0.660057:0.248072:0.650952:0.248072:0.000000
2:@0.471827:0.304520:0.480002:0.304520:0.480002:0.289621:0.471827:0.289621:0.000000
0,5:@0.532622:0.304520:0.551887:0.304520:0.551887:0.289621:0.532622:0.289621:0.000000:0.000000:0.000000
1,5:@0.632349:0.304520:0.651614:0.304520:0.651614:0.289621:0.632349:0.289621:0.000000:0.000000:0.000000
2:@0.471827:0.329464:0.480002:0.329464:0.480002:0.314565:0.471827:0.314565:0.000000
0,1:@0.532622:0.329464:0.551887:0.329464:0.551887:0.314565:0.532622:0.314565:0.000000:0.000000:0.000000
0,3:@0.632349:0.329464:0.651614:0.329464:0.651614:0.314565:0.632349:0.314565:0.000000:0.000000:0.000000
2:@0.471827:0.354409:0.480002:0.354409:0.480002:0.339510:0.471827:0.339510:0.000000
0,01:@0.524446:0.354409:0.551887:0.354409:0.551887:0.339510:0.524446:0.339510:0.000000:0.000000:0.000000:0.000000
0,03:@0.624173:0.354409:0.651614:0.354409:0.651614:0.339510:0.624173:0.339510:0.000000:0.000000:0.000000:0.000000
2:@0.471827:0.379354:0.480002:0.379354:0.480002:0.364455:0.471827:0.364455:0.000000
0,001:@0.516271:0.379354:0.551887:0.379354:0.551887:0.364455:0.516271:0.364455:0.000000:0.000000:0.000000:0.000000:0.000000
0,003:@0.615998:0.379354:0.651614:0.379354:0.651614:0.364455:0.615998:0.364455:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.418678:0.407785:0.422714:0.407785:0.422714:0.391397:0.418678:0.391397:0.000000
La razón de cambio promedio :@0.447171:0.407785:0.672116:0.407785:0.672116:0.391397:0.447171:0.391397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiende a cero.:@0.447168:0.424382:0.545993:0.424382:0.545993:0.407993:0.447168:0.407993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.096361:0.458017:0.110458:0.458017:0.110458:0.440881:0.096361:0.440881:0.000000:0.000000
  ¿Cuál es la derivada  ’( ) y evalúala en   = 2?:@0.110458:0.458017:0.442028:0.458017:0.442028:0.441628:0.110458:0.441628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T t:@0.271996:0.458017:0.293593:0.458017:0.293593:0.441656:0.271996:0.441656:0.000000:0.000000:0.000000
t:@0.401579:0.458017:0.406960:0.458017:0.406960:0.441656:0.401579:0.441656:0.000000
 :@0.096361:0.482677:0.100396:0.482677:0.100396:0.466288:0.096361:0.466288:0.000000
Calculamos la derivada por incrementos. Sea:  () 3:@0.124853:0.482677:0.513458:0.482993:0.513458:0.466605:0.124853:0.466288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.461596:0.482995:0.481996:0.482995:0.481996:0.466633:0.461596:0.466633:0.000000:0.000000
t:@0.512535:0.482993:0.517916:0.482993:0.517916:0.466632:0.512535:0.466632:0.000000
t:@0.557407:0.482993:0.562788:0.482993:0.562788:0.466632:0.557407:0.466632:0.000000
=:@0.491437:0.482579:0.501554:0.482579:0.501554:0.465636:0.491437:0.465636:0.000000
−:@0.529177:0.482579:0.539294:0.482579:0.539294:0.465636:0.529177:0.465636:0.000000
+:@0.566659:0.482579:0.576776:0.482579:0.576776:0.465636:0.566659:0.465636:0.000000
12:@0.540437:0.482993:0.558331:0.482993:0.558331:0.466605:0.540437:0.466605:0.000000:0.000000
30:@0.579394:0.482993:0.597281:0.482993:0.597281:0.466605:0.579394:0.466605:0.000000:0.000000
2:@0.519290:0.475331:0.524502:0.475331:0.524502:0.465833:0.519290:0.465833:0.000000
Tt:@0.325408:0.513224:0.350635:0.513224:0.350635:0.496863:0.325408:0.496863:0.000000:0.000000
Tt:@0.403412:0.503280:0.427644:0.503280:0.427644:0.486919:0.403412:0.486919:0.000000:0.000000
t:@0.455710:0.503280:0.461090:0.503280:0.461090:0.486919:0.455710:0.486919:0.000000
T t:@0.484088:0.503280:0.504488:0.503280:0.504488:0.486919:0.484088:0.486919:0.000000:0.000000:0.000000
t:@0.459635:0.524081:0.465016:0.524081:0.465016:0.507720:0.459635:0.507720:0.000000
t:@0.380114:0.519786:0.383233:0.519786:0.383233:0.510303:0.380114:0.510303:0.000000
’( )lim:@0.337186:0.513224:0.398292:0.513224:0.398292:0.496835:0.337186:0.496835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.494171:0.503280:0.510941:0.503280:0.510941:0.486891:0.494171:0.486891:0.000000:0.000000
=:@0.360055:0.512809:0.370172:0.512809:0.370172:0.495867:0.360055:0.495867:0.000000
+:@0.431517:0.502865:0.441634:0.502865:0.441634:0.485923:0.431517:0.485923:0.000000
(:@0.415504:0.504619:0.373839:0.504619:0.373839:0.482967:0.415504:0.482967:0.000000
):@0.463305:0.504619:0.421640:0.504619:0.421640:0.482967:0.463305:0.482967:0.000000
−:@0.471991:0.502859:0.482108:0.502859:0.482108:0.485917:0.471991:0.485917:0.000000
→:@0.384354:0.519545:0.394895:0.519545:0.394895:0.509726:0.384354:0.509726:0.000000
0:@0.395141:0.519786:0.400353:0.519786:0.400353:0.510287:0.395141:0.510287:0.000000
©Shutterstock:@0.947692:0.438933:0.947692:0.396107:0.935781:0.396107:0.935781:0.438933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.436900:0.829809:0.450692:0.829809:0.450692:0.817682:0.436900:0.817682:0.000000:0.000000
5:@0.443796:0.883371:0.450692:0.883371:0.450692:0.871244:0.443796:0.871244:0.000000
10:@0.436900:0.864959:0.450692:0.864959:0.450692:0.852832:0.436900:0.852832:0.000000:0.000000
15:@0.436900:0.847101:0.450692:0.847101:0.450692:0.834974:0.436900:0.834974:0.000000:0.000000
25:@0.436900:0.811608:0.450692:0.811608:0.450692:0.799481:0.436900:0.799481:0.000000:0.000000
30:@0.436900:0.793821:0.450692:0.793821:0.450692:0.781694:0.436900:0.781694:0.000000:0.000000
35:@0.436900:0.775631:0.450692:0.775631:0.450692:0.763504:0.436900:0.763504:0.000000:0.000000
40:@0.436900:0.758117:0.450692:0.758117:0.450692:0.745990:0.436900:0.745990:0.000000:0.000000
–0,5 0:@0.413806:0.907726:0.450934:0.907726:0.450934:0.895599:0.413806:0.895599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,5 1 1,5 2 2,5 3 3,5 4 4,5 5:@0.471125:0.907726:0.696235:0.907726:0.696235:0.895599:0.471125:0.895599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.442437:0.744654:0.448012:0.744654:0.448012:0.734035:0.442437:0.734035:0.000000
t:@0.709053:0.906928:0.712734:0.906928:0.712734:0.896308:0.709053:0.896308:0.000000
20:@0.436900:0.829809:0.450692:0.829809:0.450692:0.817682:0.436900:0.817682:0.000000:0.000000
20:@0.436900:0.829809:0.450692:0.829809:0.450692:0.817682:0.436900:0.817682:0.000000:0.000000
20:@0.436900:0.829809:0.450692:0.829809:0.450692:0.817682:0.436900:0.817682:0.000000:0.000000