94:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Monotonía. Máximos y mínimos. :@0.286308:0.060073:0.774235:0.060073:0.774235:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Optimización:@0.286308:0.090250:0.483852:0.090250:0.483852:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Criterio de la primera derivada para determinar :@0.287495:0.400033:0.769947:0.400033:0.769947:0.378523:0.287495:0.378523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los intervalos donde la función es creciente o decreciente:@0.287495:0.421156:0.864439:0.421156:0.864439:0.399646:0.287495:0.399646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  ( ) una función derivable sobre un intervalo (a, b). Entonces::@0.287495:0.443937:0.759090:0.443937:0.759090:0.427548:0.287495:0.427548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.317477:0.443937:0.334523:0.443937:0.334523:0.427575:0.317477:0.427575:0.000000:0.000000:0.000000
a):@0.287495:0.474792:0.303011:0.474792:0.303011:0.457656:0.287495:0.457656:0.000000:0.000000
 Si  ’( ) > 0, para todo   en ( ,  ), entonces  ( ) es creciente en el intervalo ( ,  ).:@0.303011:0.474792:0.882559:0.474792:0.882559:0.458403:0.303011:0.458403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.332422:0.474792:0.352674:0.474792:0.352674:0.458431:0.332422:0.458431:0.000000:0.000000:0.000000
x:@0.468471:0.474792:0.475935:0.474792:0.475935:0.458431:0.468471:0.458431:0.000000
a b:@0.507704:0.474792:0.533484:0.474792:0.533484:0.458431:0.507704:0.458431:0.000000:0.000000:0.000000
f x:@0.617754:0.474792:0.634799:0.474792:0.634799:0.458431:0.617754:0.458431:0.000000:0.000000:0.000000
a b:@0.848689:0.474792:0.874469:0.474792:0.874469:0.458431:0.848689:0.458431:0.000000:0.000000:0.000000
b):@0.287495:0.498511:0.304154:0.498511:0.304154:0.481375:0.287495:0.481375:0.000000:0.000000
 Si  ’( ) < 0, para todo   en ( ,  ), entonces  ( ) es decreciente en el intervalo ( ,  ).:@0.304154:0.498511:0.901519:0.498511:0.901519:0.482122:0.304154:0.482122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.332422:0.498511:0.352674:0.498511:0.352674:0.482150:0.332422:0.482150:0.000000:0.000000:0.000000
x:@0.468471:0.498511:0.475935:0.498511:0.475935:0.482150:0.468471:0.482150:0.000000
a b:@0.507704:0.498511:0.533484:0.498511:0.533484:0.482150:0.507704:0.482150:0.000000:0.000000:0.000000
f x:@0.617754:0.498511:0.634799:0.498511:0.634799:0.482150:0.617754:0.482150:0.000000:0.000000:0.000000
a b:@0.867649:0.498511:0.893429:0.498511:0.893429:0.482150:0.867649:0.482150:0.000000:0.000000:0.000000
c):@0.287495:0.522230:0.301593:0.522230:0.301593:0.505094:0.287495:0.505094:0.000000:0.000000
 Si  ’( ) = 0, para todo   en ( ,  ), entonces  ( ) es constante en el intervalo ( ,  ).:@0.301593:0.522230:0.887991:0.522230:0.887991:0.505841:0.301593:0.505841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.332422:0.522230:0.352674:0.522230:0.352674:0.505869:0.332422:0.505869:0.000000:0.000000:0.000000
x:@0.468471:0.522230:0.475935:0.522230:0.475935:0.505869:0.468471:0.505869:0.000000
a b:@0.507704:0.522230:0.533484:0.522230:0.533484:0.505869:0.507704:0.505869:0.000000:0.000000:0.000000
f x:@0.617754:0.522230:0.634799:0.522230:0.634799:0.505869:0.617754:0.505869:0.000000:0.000000:0.000000
a b:@0.854121:0.522230:0.879902:0.522230:0.879902:0.505869:0.854121:0.505869:0.000000:0.000000:0.000000
Definición de puntos críticos:@0.287495:0.551349:0.534696:0.551349:0.534696:0.532912:0.287495:0.532912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los puntos del dominio de  ( ) en donde la derivada es cero:  ’( ) = 0 o donde la deri-:@0.287495:0.574759:0.903752:0.574759:0.903752:0.558370:0.287495:0.558370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.487601:0.574759:0.504647:0.574759:0.504647:0.558398:0.487601:0.558398:0.000000:0.000000:0.000000
f x:@0.730920:0.574759:0.751172:0.574759:0.751172:0.558398:0.730920:0.558398:0.000000:0.000000:0.000000
vada no exista se llaman puntos críticos.:@0.287495:0.591355:0.580600:0.591355:0.580600:0.574966:0.287495:0.574966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Criterio para hallar máximos y mínimos relativos:@0.287494:0.620467:0.705286:0.620467:0.705286:0.602030:0.287494:0.602030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  ( ) una función continua y derivable en el intervalo ( ,  ) y   un punto crítico de :@0.287494:0.643876:0.907676:0.643876:0.907676:0.627487:0.287494:0.627487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.317531:0.643876:0.334576:0.643876:0.334576:0.627515:0.317531:0.627515:0.000000:0.000000:0.000000
a b:@0.703485:0.643876:0.729333:0.643876:0.729333:0.627515:0.703485:0.627515:0.000000:0.000000:0.000000
c:@0.750525:0.643876:0.758191:0.643876:0.758191:0.627515:0.750525:0.627515:0.000000
f:@0.287494:0.660473:0.292193:0.660473:0.292193:0.644112:0.287494:0.644112:0.000000
 en el intervalo.:@0.292193:0.660473:0.403475:0.660473:0.403475:0.644084:0.292193:0.644084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287494:0.691328:0.303010:0.691328:0.303010:0.674192:0.287494:0.674192:0.000000:0.000000
 Si  ’( ) > 0 a la izquierda del punto:@0.303010:0.691328:0.561822:0.691328:0.561822:0.674939:0.303010:0.674939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.332420:0.691328:0.352672:0.691328:0.352672:0.674967:0.332420:0.674967:0.000000:0.000000:0.000000
x:@0.315983:0.707925:0.323446:0.707925:0.323446:0.691563:0.315983:0.691563:0.000000
 =   y  ’( ) < 0 a la derecha de   =  , :@0.323446:0.707925:0.580325:0.707925:0.580325:0.691536:0.323446:0.691536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c f x:@0.342500:0.707925:0.386598:0.707925:0.386598:0.691563:0.342500:0.691563:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538900:0.707925:0.546363:0.707925:0.546363:0.691563:0.538900:0.691563:0.000000
c:@0.565418:0.707925:0.573083:0.707925:0.573083:0.691563:0.565418:0.691563:0.000000
f c:@0.315983:0.724521:0.333231:0.724521:0.333231:0.708160:0.315983:0.708160:0.000000:0.000000:0.000000
( ) es un máximo relativo.:@0.320682:0.724521:0.506705:0.724521:0.506705:0.708132:0.320682:0.708132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.609812:0.691328:0.626470:0.691328:0.626470:0.674192:0.609812:0.674192:0.000000:0.000000
 Si  ’( ) < 0 a la izquierda del punto:@0.626470:0.691328:0.884140:0.691328:0.884140:0.674939:0.626470:0.674939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.654738:0.691328:0.674990:0.691328:0.674990:0.674967:0.654738:0.674967:0.000000:0.000000:0.000000
x:@0.638301:0.707925:0.645764:0.707925:0.645764:0.691563:0.638301:0.691563:0.000000
 =   y  ’( ) > 0 a la derecha de   =  , :@0.645764:0.707925:0.902643:0.707925:0.902643:0.691536:0.645764:0.691536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c f x:@0.664818:0.707925:0.708915:0.707925:0.708915:0.691563:0.664818:0.691563:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.861218:0.707925:0.868681:0.707925:0.868681:0.691563:0.861218:0.691563:0.000000
c:@0.887735:0.707925:0.895401:0.707925:0.895401:0.691563:0.887735:0.691563:0.000000
f c:@0.638301:0.724521:0.655549:0.724521:0.655549:0.708160:0.638301:0.708160:0.000000:0.000000:0.000000
( ) es un mínimo relativo.:@0.643000:0.724521:0.826482:0.724521:0.826482:0.708132:0.643000:0.708132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.368905:0.480398:0.368905:0.480398:0.353540:0.306727:0.353540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.369690:0.297460:0.369690:0.297460:0.352555:0.284892:0.352555:0.000000
Pienso y progreso:@0.294883:0.308529:0.417347:0.308529:0.417347:0.293165:0.294883:0.293165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué es fundamental analizar los ingresos y egresos al gestionar un emprendimiento?:@0.294883:0.325924:0.889399:0.325924:0.889399:0.311025:0.294883:0.311025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una empresa produce jugo de naranja y desea optimizar la ganancia diaria. Descubre :@0.287495:0.168345:0.907678:0.168345:0.907678:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sus ingresos diarios dependen de cuántas cajas de naranjas procesan.:@0.287495:0.184941:0.829209:0.184941:0.829209:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ingresos diarios en dólares, al procesar x cajas de naranjas están dados por::@0.287495:0.208660:0.862047:0.208660:0.862047:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ix:@0.475293:0.229221:0.493758:0.229221:0.493758:0.212860:0.475293:0.212860:0.000000:0.000000
x:@0.536860:0.229221:0.544323:0.229221:0.544323:0.212860:0.536860:0.212860:0.000000
x:@0.587794:0.229221:0.595257:0.229221:0.595257:0.212860:0.587794:0.212860:0.000000
x:@0.677794:0.229221:0.685258:0.229221:0.685258:0.212860:0.677794:0.212860:0.000000
():@0.479642:0.229221:0.500447:0.229221:0.500447:0.212832:0.479642:0.212832:0.000000:0.000000
;    :@0.628740:0.229221:0.650584:0.229221:0.650584:0.212832:0.628740:0.212832:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.503414:0.228806:0.527149:0.228806:0.527149:0.211864:0.503414:0.211864:0.000000:0.000000
+:@0.555822:0.228806:0.565939:0.228806:0.565939:0.211864:0.555822:0.211864:0.000000
−:@0.599385:0.228806:0.609502:0.228806:0.609502:0.211864:0.599385:0.211864:0.000000
≤≤:@0.663347:0.228806:0.699797:0.228806:0.699797:0.211864:0.663347:0.211864:0.000000:0.000000
2:@0.527075:0.229221:0.536067:0.229221:0.536067:0.212832:0.527075:0.212832:0.000000
24:@0.568537:0.229221:0.586430:0.229221:0.586430:0.212832:0.568537:0.212832:0.000000:0.000000
10:@0.610626:0.229221:0.628519:0.229221:0.628519:0.212832:0.610626:0.212832:0.000000:0.000000
0:@0.651203:0.229221:0.660196:0.229221:0.660196:0.212832:0.651203:0.212832:0.000000
15:@0.701566:0.229221:0.719459:0.229221:0.719459:0.212832:0.701566:0.212832:0.000000:0.000000
2:@0.545915:0.221560:0.551126:0.221560:0.551126:0.212062:0.545915:0.212062:0.000000
a):@0.287495:0.252550:0.303011:0.252550:0.303011:0.235415:0.287495:0.235415:0.000000:0.000000
  ¿En qué intervalos la función de ingresos es creciente o decreciente?:@0.303011:0.252550:0.818042:0.252550:0.818042:0.236161:0.303011:0.236161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.276269:0.304154:0.276269:0.304154:0.259134:0.287495:0.259134:0.000000:0.000000
  ¿Cuál es el número de cajas que maximiza los ingresos y cuál es el ingreso?:@0.304154:0.276269:0.863136:0.276269:0.863136:0.259880:0.304154:0.259880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Paso 1. :@0.291121:0.838175:0.346755:0.838175:0.346755:0.822597:0.291121:0.822597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos el criterio de la primera :@0.346755:0.838175:0.577799:0.838175:0.577799:0.823276:0.346755:0.823276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada y determinamos dónde la función :@0.291121:0.853262:0.582912:0.853262:0.582912:0.838363:0.291121:0.838363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es creciente o decreciente.:@0.291121:0.868350:0.468659:0.868350:0.468659:0.853451:0.291121:0.853451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ix:@0.293382:0.885556:0.310000:0.885556:0.310000:0.870831:0.293382:0.870831:0.000000:0.000000
x:@0.348792:0.885556:0.355509:0.885556:0.355509:0.870831:0.348792:0.870831:0.000000
x:@0.394633:0.885556:0.401350:0.885556:0.401350:0.870831:0.394633:0.870831:0.000000
Ix:@0.293382:0.904227:0.313865:0.904227:0.313865:0.889502:0.293382:0.889502:0.000000:0.000000
x:@0.353171:0.904227:0.359888:0.904227:0.359888:0.889502:0.353171:0.889502:0.000000
():@0.297296:0.885556:0.316021:0.885556:0.316021:0.870806:0.297296:0.870806:0.000000:0.000000
·( ):@0.296268:0.904227:0.319885:0.904227:0.319885:0.889477:0.296268:0.889477:0.000000:0.000000:0.000000:0.000000
=−:@0.318691:0.885183:0.340052:0.885183:0.340052:0.869935:0.318691:0.869935:0.000000:0.000000
+:@0.365858:0.885183:0.374963:0.885183:0.374963:0.869935:0.365858:0.869935:0.000000
−:@0.405065:0.885183:0.414170:0.885183:0.414170:0.869935:0.405065:0.869935:0.000000
=−:@0.322555:0.903854:0.343916:0.903854:0.343916:0.888606:0.322555:0.888606:0.000000:0.000000
+:@0.363586:0.903854:0.372691:0.903854:0.372691:0.888606:0.363586:0.888606:0.000000
2:@0.339986:0.885556:0.348079:0.885556:0.348079:0.870806:0.339986:0.870806:0.000000
24:@0.377302:0.885556:0.393406:0.885556:0.393406:0.870806:0.377302:0.870806:0.000000:0.000000
10:@0.415182:0.885556:0.431285:0.885556:0.431285:0.870806:0.415182:0.870806:0.000000:0.000000
4:@0.343850:0.904227:0.351943:0.904227:0.351943:0.889477:0.343850:0.889477:0.000000
24:@0.375046:0.904227:0.391150:0.904227:0.391150:0.889477:0.375046:0.889477:0.000000:0.000000
2:@0.356941:0.878660:0.361631:0.878660:0.361631:0.870112:0.356941:0.870112:0.000000
Paso 2.:@0.599787:0.838175:0.652038:0.838175:0.652038:0.822597:0.599787:0.822597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualamos la derivada a cero y :@0.655706:0.838175:0.859999:0.838175:0.859999:0.823276:0.655706:0.823276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontramos el punto crítico y los intervalos :@0.599787:0.853262:0.899516:0.853262:0.899516:0.838363:0.599787:0.838363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de análisis.:@0.599787:0.868350:0.670665:0.868350:0.670665:0.853451:0.599787:0.853451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.602048:0.887060:0.610142:0.887060:0.610142:0.872310:0.602048:0.872310:0.000000
4:@0.634555:0.887060:0.642648:0.887060:0.642648:0.872310:0.634555:0.872310:0.000000
24;  :@0.665751:0.887060:0.694443:0.887060:0.694443:0.872310:0.665751:0.872310:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.717396:0.887060:0.725490:0.887060:0.725490:0.872310:0.717396:0.872310:0.000000
=−:@0.613276:0.886686:0.634638:0.886686:0.634638:0.871438:0.613276:0.871438:0.000000:0.000000
+:@0.654307:0.886686:0.663413:0.886686:0.663413:0.871438:0.654307:0.871438:0.000000
=:@0.705422:0.886686:0.714527:0.886686:0.714527:0.871438:0.705422:0.871438:0.000000
x:@0.643892:0.887060:0.650609:0.887060:0.650609:0.872335:0.643892:0.872335:0.000000
x:@0.694443:0.887060:0.701160:0.887060:0.701160:0.872335:0.694443:0.872335:0.000000
.:@0.727943:0.887002:0.730858:0.887002:0.730858:0.872103:0.727943:0.872103:0.000000
Intervalos: :@0.599787:0.905648:0.671671:0.905648:0.671671:0.890749:0.599787:0.890749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−∞:@0.679726:0.905258:0.700590:0.905258:0.700590:0.890010:0.679726:0.890010:0.000000:0.000000
]:@0.674166:0.907070:0.679689:0.907070:0.679689:0.886851:0.674166:0.886851:0.000000
]:@0.718365:0.907070:0.723887:0.907070:0.723887:0.886851:0.718365:0.886851:0.000000
∪:@0.731836:0.905258:0.744573:0.905258:0.744573:0.890010:0.731836:0.890010:0.000000
∞:@0.785306:0.905258:0.797131:0.905258:0.797131:0.890010:0.785306:0.890010:0.000000
[:@0.752333:0.907070:0.757855:0.907070:0.757855:0.886851:0.752333:0.886851:0.000000
):@0.798365:0.906833:0.803888:0.906833:0.803888:0.887346:0.798365:0.887346:0.000000
, 6:@0.700976:0.905631:0.717843:0.905631:0.717843:0.890881:0.700976:0.890881:0.000000:0.000000:0.000000
, 6:@0.766702:0.905631:0.766503:0.905631:0.766503:0.890881:0.766702:0.890881:0.000000:0.000000:0.000000
 +:@0.771844:0.905631:0.785360:0.905631:0.785360:0.890881:0.771844:0.890881:0.000000:0.000000
Ejemplos paso a paso:@0.285358:0.788081:0.440250:0.788081:0.440250:0.772717:0.285358:0.772717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.285358:0.815684:0.299584:0.815684:0.299584:0.798783:0.285358:0.798783:0.000000:0.000000
  Resolvemos nuestro problema inicial:@0.299584:0.815684:0.583591:0.815684:0.583591:0.799295:0.299584:0.799295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.761983:0.431598:0.761983:0.431598:0.746619:0.306727:0.746619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.762768:0.297220:0.762768:0.297220:0.745632:0.285132:0.745632:0.000000
Pasos para determinar:@0.096259:0.583853:0.244164:0.583853:0.244164:0.568954:0.096259:0.568954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los intervalos donde:@0.108856:0.597683:0.244164:0.597683:0.244164:0.582784:0.108856:0.582784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función es creciente:@0.094868:0.611513:0.244164:0.611513:0.244164:0.596614:0.094868:0.596614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o decreciente::@0.149799:0.625344:0.244164:0.625344:0.244164:0.610445:0.149799:0.610445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) Encontrar:@0.167741:0.642732:0.244166:0.642732:0.244166:0.627833:0.167741:0.627833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos críticos.:@0.120684:0.656563:0.244164:0.656563:0.244164:0.641664:0.120684:0.641664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) Analizar el signo:@0.120684:0.673951:0.244164:0.673951:0.244164:0.659052:0.120684:0.659052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  ( ) tomando valores :@0.083175:0.687781:0.247833:0.687781:0.247833:0.672882:0.083175:0.672882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’ x:@0.104082:0.687781:0.123297:0.687781:0.123297:0.672907:0.104082:0.672907:0.000000:0.000000:0.000000:0.000000
arbitrarios en cada :@0.121052:0.701612:0.247833:0.701612:0.247833:0.686713:0.121052:0.686713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo.:@0.182785:0.715442:0.244166:0.715442:0.244166:0.700543:0.182785:0.700543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii) Usar el criterio de la :@0.094818:0.732830:0.247833:0.732830:0.247833:0.717931:0.094818:0.717931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primera derivada para :@0.097532:0.746661:0.247833:0.746661:0.247833:0.731762:0.097532:0.731762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar dónde  ( ) es :@0.080361:0.760491:0.247833:0.760491:0.247833:0.745592:0.080361:0.745592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.206186:0.760491:0.221682:0.760491:0.221682:0.745617:0.206186:0.745617:0.000000:0.000000:0.000000
creciente o decreciente.:@0.084666:0.774321:0.244164:0.774321:0.244164:0.759422:0.084666:0.759422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Máximo absoluto: :@0.096443:0.798839:0.229790:0.798839:0.229790:0.783475:0.096443:0.783475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es:@0.229790:0.798839:0.244164:0.798839:0.244164:0.783940:0.229790:0.783940:0.000000:0.000000
el valor más alto que :@0.106411:0.812669:0.247833:0.812669:0.247833:0.797770:0.106411:0.797770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
toma la función en todo :@0.082773:0.826499:0.247833:0.826499:0.247833:0.811600:0.082773:0.811600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su dominio.:@0.166099:0.840330:0.244166:0.840330:0.244166:0.825431:0.166099:0.825431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mínimo absoluto: :@0.099274:0.857718:0.229790:0.857718:0.229790:0.842354:0.099274:0.842354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es:@0.229790:0.857718:0.244164:0.857718:0.244164:0.842819:0.229790:0.842819:0.000000:0.000000
el valor más bajo que :@0.102206:0.871548:0.247834:0.871548:0.247834:0.856649:0.102206:0.856649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
toma la función en todo :@0.082773:0.885379:0.247833:0.885379:0.247833:0.870480:0.082773:0.870480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su dominio.:@0.166099:0.899209:0.244166:0.899209:0.244166:0.884310:0.166099:0.884310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115206:0.551412:0.222747:0.551412:0.222747:0.534511:0.115206:0.534511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes:@0.139480:0.191813:0.244165:0.191813:0.244165:0.176914:0.139480:0.176914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por optimizar?:@0.147655:0.205643:0.244165:0.205643:0.244165:0.190744:0.147655:0.190744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.162936:0.227756:0.162936:0.227756:0.146036:0.108521:0.146036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.271426:0.068421:0.228601:0.056510:0.228601:0.056510:0.271426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para la elaboración de jugos :@0.076177:0.413387:0.247544:0.413387:0.247544:0.399978:0.076177:0.399978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de naranja, las frutas deben :@0.076177:0.425958:0.243624:0.425958:0.243624:0.412549:0.076177:0.412549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estar sanas y jugosas.:@0.076177:0.438530:0.202626:0.438530:0.202626:0.425121:0.076177:0.425121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000