﻿144:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Derivadas:@0.073089:0.043661:0.163191:0.043661:0.163191:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hallemos la derivada de la función indicada utilizando las fórmulas necesarias para :@0.293660:0.136836:0.931354:0.136836:0.931354:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinarla: :@0.293660:0.153478:0.393976:0.153478:0.393976:0.137044:0.293660:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio 1::@0.293660:0.180840:0.373800:0.180840:0.373800:0.164170:0.293660:0.164170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   = 3 ∙ 2 + 8 ∙ e –5 ∙  – 6 ∙ 2   :@0.373676:0.180840:0.588109:0.180841:0.588109:0.164407:0.373676:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.377634:0.180840:0.385107:0.180840:0.385107:0.164434:0.377634:0.164434:0.000000
 :@0.412718:0.180840:0.416032:0.180840:0.416032:0.164434:0.412718:0.164434:0.000000
x:@0.431950:0.174777:0.436297:0.174777:0.436297:0.165213:0.431950:0.165213:0.000000
 :@0.436254:0.174777:0.438604:0.174777:0.438604:0.165196:0.436254:0.165196:0.000000
 :@0.462307:0.180841:0.465621:0.180841:0.465621:0.164435:0.462307:0.164435:0.000000
x:@0.481471:0.174777:0.485817:0.174777:0.485817:0.165213:0.481471:0.165213:0.000000
   :@0.485774:0.174777:0.499556:0.174777:0.499556:0.165196:0.485774:0.165196:0.000000:0.000000:0.000000
  x:@0.508418:0.180841:0.526181:0.180841:0.526181:0.164435:0.508418:0.164435:0.000000:0.000000:0.000000
2 :@0.526119:0.174777:0.533663:0.174777:0.533663:0.165196:0.526119:0.165196:0.000000:0.000000
 :@0.555590:0.180841:0.558904:0.180841:0.558904:0.164435:0.555590:0.164435:0.000000
7:@0.574809:0.174777:0.580046:0.174777:0.580046:0.165196:0.574809:0.165196:0.000000
Primero::@0.305518:0.222607:0.372553:0.222607:0.372553:0.205660:0.305518:0.205660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 recordemos las reglas de derivación de cada tipo de función::@0.372463:0.222607:0.816177:0.222607:0.816177:0.206173:0.372463:0.206173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de   (donde a es una constante) es :@0.305516:0.246391:0.654475:0.246396:0.654475:0.229962:0.305516:0.229957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.415334:0.246391:0.424593:0.246391:0.424593:0.229985:0.415334:0.229985:0.000000
x:@0.424534:0.240332:0.429138:0.240332:0.429138:0.230751:0.424534:0.230751:0.000000
a  lna:@0.654193:0.246396:0.693338:0.246396:0.693338:0.229990:0.654193:0.229990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.663390:0.240332:0.667736:0.240332:0.667736:0.230768:0.663390:0.230768:0.000000
.:@0.693302:0.246396:0.696505:0.246396:0.696505:0.229962:0.693302:0.229962:0.000000
La derivada de   es  .:@0.305534:0.270180:0.466631:0.270185:0.466631:0.253751:0.305534:0.253746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.415352:0.270180:0.423138:0.270180:0.423138:0.253774:0.415352:0.253774:0.000000
x:@0.423061:0.264121:0.427665:0.264121:0.427665:0.254540:0.423061:0.254540:0.000000
e:@0.451143:0.270185:0.458929:0.270185:0.458929:0.253779:0.451143:0.253779:0.000000
x:@0.458872:0.264121:0.463476:0.264121:0.463476:0.254540:0.458872:0.254540:0.000000
La derivada de   es  ∙ :@0.305513:0.293969:0.471802:0.293974:0.471802:0.277540:0.305513:0.277535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.415330:0.293969:0.422785:0.293969:0.422785:0.277563:0.415330:0.277563:0.000000
n:@0.422730:0.287910:0.428482:0.287910:0.428482:0.278329:0.422730:0.278329:0.000000
n  x:@0.451959:0.293974:0.479165:0.293974:0.479165:0.277568:0.451959:0.277568:0.000000:0.000000:0.000000:0.000000
n-1:@0.479110:0.287910:0.493211:0.287910:0.493211:0.278329:0.479110:0.278329:0.000000:0.000000:0.000000
.:@0.493155:0.293974:0.496357:0.293974:0.496357:0.277540:0.493155:0.277540:0.000000
La derivada de una constante es 0.:@0.305511:0.317758:0.555320:0.317758:0.555320:0.301324:0.305511:0.301324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución: :@0.293657:0.359293:0.364112:0.359293:0.364112:0.342860:0.293657:0.342860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivemos cada término::@0.293657:0.383077:0.490903:0.383077:0.490903:0.366130:0.293657:0.366130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la derivada de 3 ∙ 2 es 3 ∙ 2   (2):@0.490780:0.383077:0.720257:0.383093:0.720257:0.366659:0.490780:0.366644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.609120:0.383077:0.612434:0.383077:0.612434:0.366671:0.609120:0.366671:0.000000
 :@0.660771:0.383077:0.664084:0.383077:0.664084:0.366671:0.660771:0.366671:0.000000
x:@0.679990:0.377029:0.684594:0.377029:0.684594:0.367448:0.679990:0.367448:0.000000
ln:@0.688504:0.383093:0.701720:0.383093:0.701720:0.366686:0.688504:0.366686:0.000000:0.000000
La derivada de 8 ∙   es 8  .:@0.293668:0.406876:0.486848:0.406881:0.486848:0.390448:0.293668:0.390443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  e:@0.412395:0.406876:0.430490:0.406876:0.430490:0.390470:0.412395:0.390470:0.000000:0.000000:0.000000
x:@0.430424:0.400818:0.435028:0.400818:0.435028:0.391237:0.430424:0.391237:0.000000
e:@0.471372:0.406881:0.479158:0.406881:0.479158:0.390475:0.471372:0.390475:0.000000
x:@0.479088:0.400818:0.483692:0.400818:0.483692:0.391237:0.479088:0.391237:0.000000
La derivada de –5 ∙    es –10 .:@0.293663:0.430665:0.509403:0.430672:0.509403:0.414238:0.293663:0.414232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  x:@0.421520:0.430665:0.439283:0.430665:0.439283:0.414259:0.421520:0.414259:0.000000:0.000000:0.000000
2:@0.439216:0.424608:0.444453:0.424608:0.444453:0.415027:0.439216:0.415027:0.000000
x:@0.498819:0.430672:0.506274:0.430672:0.506274:0.414266:0.498819:0.414266:0.000000
La derivada de –6 ∙ (-6)2   es 0 (porque es una constante).:@0.293652:0.454456:0.704204:0.454461:0.704204:0.438027:0.293652:0.438022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.421509:0.454456:0.424822:0.454456:0.424822:0.438050:0.421509:0.438050:0.000000
7:@0.464632:0.448397:0.469869:0.448397:0.469869:0.438816:0.464632:0.438816:0.000000
Sumamos las derivadas de cada término::@0.293663:0.485193:0.614001:0.485193:0.614001:0.468246:0.293663:0.468246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.613839:0.485193:0.617742:0.485193:0.617742:0.468523:0.613839:0.468523:0.000000
dy:@0.622057:0.478357:0.638716:0.478357:0.638716:0.461951:0.622057:0.461951:0.000000:0.000000
dx:@0.622057:0.494749:0.638697:0.494749:0.638697:0.478343:0.622057:0.478343:0.000000:0.000000
 =3 ∙ 2  ln2+8 ∙ e –10x:@0.643042:0.485194:0.795392:0.485195:0.795392:0.468761:0.643042:0.468760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.666787:0.485194:0.670100:0.485194:0.670100:0.468788:0.666787:0.468788:0.000000
x:@0.686014:0.479131:0.690618:0.479131:0.690618:0.469550:0.686014:0.469550:0.000000
 :@0.736828:0.485195:0.740141:0.485195:0.740141:0.468789:0.736828:0.468789:0.000000
x:@0.755990:0.479131:0.760594:0.479131:0.760594:0.469550:0.755990:0.469550:0.000000
Respuesta: :@0.293665:0.511462:0.375110:0.511462:0.375110:0.495028:0.293665:0.495028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.379364:0.505517:0.396023:0.505517:0.396023:0.489111:0.379364:0.489111:0.000000:0.000000
dx:@0.379383:0.521909:0.396023:0.521909:0.396023:0.505503:0.379383:0.505503:0.000000:0.000000
  =3 ∙ 2:@0.400367:0.511467:0.447361:0.511467:0.447361:0.495033:0.400367:0.495033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.428051:0.511467:0.431365:0.511467:0.431365:0.495061:0.428051:0.495061:0.000000
x:@0.447269:0.505398:0.451872:0.505398:0.451872:0.495817:0.447269:0.495817:0.000000
 ln:@0.451825:0.511462:0.468281:0.511462:0.468281:0.495055:0.451825:0.495055:0.000000:0.000000:0.000000
2 + 8 ∙  – 10:@0.468226:0.511462:0.560706:0.511462:0.560706:0.495028:0.468226:0.495028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  e:@0.504820:0.511462:0.522914:0.511462:0.522914:0.495055:0.504820:0.495055:0.000000:0.000000:0.000000
x :@0.522866:0.505398:0.529777:0.505398:0.529777:0.495817:0.522866:0.495817:0.000000:0.000000
x:@0.560595:0.511462:0.568050:0.511462:0.568050:0.495055:0.560595:0.495055:0.000000
Ejercicio 2::@0.293653:0.549544:0.373793:0.549544:0.373793:0.532874:0.293653:0.532874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  = 3 ∙ 2:@0.373670:0.549544:0.431340:0.549544:0.431340:0.533110:0.373670:0.533110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.377627:0.549544:0.388340:0.549544:0.388340:0.533138:0.377627:0.533138:0.000000:0.000000
 :@0.412030:0.549544:0.415344:0.549544:0.415344:0.533138:0.412030:0.533138:0.000000
senx :@0.431248:0.543482:0.451144:0.543482:0.451144:0.533918:0.431248:0.533918:0.000000:0.000000:0.000000:0.000000:0.000000
+ 8 ∙ :@0.451122:0.549546:0.485268:0.549546:0.485268:0.533112:0.451122:0.533112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  e:@0.474868:0.549546:0.492962:0.549546:0.492962:0.533140:0.474868:0.533140:0.000000:0.000000:0.000000
cosx :@0.492905:0.543482:0.512499:0.543482:0.512499:0.533918:0.492905:0.533918:0.000000:0.000000:0.000000:0.000000:0.000000
– 5 ∙ :@0.512469:0.549546:0.544847:0.549546:0.544847:0.533112:0.512469:0.533112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  tan  x :@0.534447:0.549546:0.587821:0.549546:0.587821:0.533140:0.534447:0.533140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.568696:0.543482:0.573933:0.543482:0.573933:0.533901:0.568696:0.533901:0.000000
– 6 ∙ 2:@0.587766:0.549546:0.629054:0.549546:0.629054:0.533112:0.587766:0.533112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.609744:0.549546:0.613058:0.549546:0.613058:0.533140:0.609744:0.533140:0.000000
7(ln8–1):@0.628968:0.543482:0.663459:0.543482:0.663459:0.533901:0.628968:0.533901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reglas de derivación necesarias:@0.303147:0.585344:0.551768:0.585344:0.551768:0.568397:0.303147:0.568397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de :@0.303147:0.609133:0.413141:0.609133:0.413141:0.592699:0.303147:0.592699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.412964:0.609133:0.422223:0.609133:0.422223:0.592727:0.412964:0.592727:0.000000
g(x) :@0.422163:0.603069:0.439355:0.603069:0.439355:0.593504:0.422163:0.593504:0.000000:0.000000:0.000000:0.000000:0.000000
(donde   es una constante y   ( ) es una función)  :@0.439333:0.609133:0.802877:0.609133:0.802877:0.592699:0.439333:0.592699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.496212:0.609133:0.505471:0.609133:0.505471:0.592727:0.496212:0.592727:0.000000
g x:@0.648974:0.609133:0.674357:0.609133:0.674357:0.592727:0.648974:0.592727:0.000000:0.000000:0.000000
es :@0.303101:0.625775:0.322779:0.625775:0.322779:0.609341:0.303101:0.609341:0.000000:0.000000:0.000000
a:@0.322687:0.625775:0.331946:0.625775:0.331946:0.609368:0.322687:0.609368:0.000000
g(x):@0.331922:0.619711:0.347225:0.619711:0.347225:0.610146:0.331922:0.610146:0.000000:0.000000:0.000000:0.000000
 ∙ ln( ) ∙  '( ) :@0.347200:0.625775:0.435095:0.625775:0.435095:0.609341:0.347200:0.609341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a g x:@0.376633:0.625775:0.426259:0.625775:0.426259:0.609368:0.376633:0.609368:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de :@0.303115:0.653137:0.413109:0.653137:0.413109:0.636703:0.303115:0.636703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.412932:0.653137:0.420719:0.653137:0.420719:0.636730:0.412932:0.636730:0.000000
g(x):@0.420690:0.647074:0.435993:0.647074:0.435993:0.637509:0.420690:0.637509:0.000000:0.000000:0.000000:0.000000
 es :@0.435967:0.653138:0.459602:0.653138:0.459602:0.636704:0.435967:0.636704:0.000000:0.000000:0.000000:0.000000
e:@0.459491:0.653138:0.467277:0.653138:0.467277:0.636732:0.459491:0.636732:0.000000
g(x):@0.467220:0.647074:0.482523:0.647074:0.482523:0.637509:0.467220:0.637509:0.000000:0.000000:0.000000:0.000000
 ∙  '( ):@0.482498:0.653138:0.522958:0.653138:0.522958:0.636704:0.482498:0.636704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.493524:0.653138:0.518153:0.653138:0.518153:0.636732:0.493524:0.636732:0.000000:0.000000:0.000000
La derivada de :@0.303138:0.676922:0.413133:0.676922:0.413133:0.660488:0.303138:0.660488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x:@0.412956:0.676922:0.458291:0.676928:0.458291:0.660522:0.412956:0.660516:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.436904:0.670864:0.442141:0.670864:0.442141:0.661283:0.436904:0.661283:0.000000
 ( ) es 2 :@0.442093:0.676928:0.499524:0.676928:0.499524:0.660494:0.442093:0.660494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x sec x:@0.499395:0.676928:0.594354:0.676928:0.594354:0.660522:0.499395:0.660522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ∙ :@0.523324:0.676928:0.551432:0.676928:0.551432:0.660494:0.523324:0.660494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.572967:0.670864:0.578204:0.670864:0.578204:0.661283:0.572967:0.661283:0.000000
 ( ) (usando la regla de la cadena).:@0.578156:0.676928:0.822229:0.676928:0.822229:0.660494:0.578156:0.660494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de una constante es 0.:@0.303133:0.700712:0.552942:0.700712:0.552942:0.684278:0.303133:0.684278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293653:0.739904:0.356949:0.739904:0.356949:0.723470:0.293653:0.723470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de 3 ∙ 2:@0.293653:0.763687:0.432510:0.763687:0.432510:0.747254:0.293653:0.747254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen(x):@0.432310:0.757635:0.455919:0.757635:0.455919:0.748070:0.432310:0.748070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.455903:0.763699:0.459217:0.763699:0.459217:0.747293:0.455903:0.747293:0.000000
es: 3 ∙ 2:@0.459143:0.763699:0.510812:0.763699:0.510812:0.747265:0.459143:0.747265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen(x):@0.510682:0.757635:0.534291:0.757635:0.534291:0.748070:0.510682:0.748070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ∙  (2) ∙ :@0.534275:0.763699:0.588098:0.763699:0.588098:0.747265:0.534275:0.747265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.545301:0.763699:0.558517:0.763699:0.558517:0.747293:0.545301:0.747293:0.000000:0.000000
cos x:@0.587987:0.763699:0.623108:0.763699:0.623108:0.747293:0.587987:0.747293:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.610849:0.763699:0.627912:0.763699:0.627912:0.747265:0.610849:0.747265:0.000000:0.000000:0.000000
La derivada de 8 ∙ :@0.293674:0.787483:0.423621:0.787483:0.423621:0.771049:0.293674:0.771049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.423426:0.787483:0.431213:0.787483:0.431213:0.771077:0.423426:0.771077:0.000000
cos(x):@0.431129:0.781424:0.454399:0.781424:0.454399:0.771859:0.431129:0.771859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es:  8 ∙ e:@0.454377:0.787488:0.513906:0.787488:0.513906:0.771054:0.454377:0.771054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos(x):@0.513756:0.781424:0.537026:0.781424:0.537026:0.771859:0.513756:0.771859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ∙ (–:@0.537004:0.787488:0.562056:0.787488:0.562056:0.771054:0.537004:0.771054:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.561946:0.787488:0.597656:0.787488:0.597656:0.771082:0.561946:0.771082:0.000000:0.000000:0.000000:0.000000:0.000000
( ))= –8 ∙ :@0.585397:0.787488:0.651203:0.787488:0.651203:0.771054:0.585397:0.771054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.651074:0.787488:0.658860:0.787488:0.658860:0.771082:0.651074:0.771082:0.000000
cosx:@0.658791:0.781424:0.676496:0.781424:0.676496:0.771859:0.658791:0.771859:0.000000:0.000000:0.000000:0.000000
 ∙ :@0.676462:0.787488:0.687580:0.787488:0.687580:0.771054:0.676462:0.771054:0.000000:0.000000:0.000000
sen x:@0.687488:0.787488:0.723198:0.787488:0.723198:0.771082:0.687488:0.771082:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.710939:0.787488:0.728003:0.787488:0.728003:0.771054:0.710939:0.771054:0.000000:0.000000:0.000000
La derivada de – 5∙ tan  ( ) es: –5 ∙ 2(tan( ) ∙ sec ( )= –10 :@0.293665:0.811272:0.695179:0.811277:0.695179:0.794843:0.293665:0.794838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.456201:0.805213:0.461438:0.805213:0.461438:0.795632:0.456201:0.795632:0.000000
x:@0.470134:0.811277:0.477589:0.811277:0.477589:0.794871:0.470134:0.794871:0.000000
x:@0.580191:0.811277:0.587646:0.811277:0.587646:0.794871:0.580191:0.794871:0.000000
2:@0.627164:0.805213:0.632401:0.805213:0.632401:0.795632:0.627164:0.795632:0.000000
x:@0.637160:0.811277:0.644614:0.811277:0.644614:0.794871:0.637160:0.794871:0.000000
tan x sec x:@0.695050:0.811277:0.789998:0.811277:0.789998:0.794871:0.695050:0.794871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ∙ :@0.718980:0.811277:0.747088:0.811277:0.747088:0.794843:0.718980:0.794843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.768611:0.805213:0.773848:0.805213:0.773848:0.795632:0.768611:0.795632:0.000000
 ( )de:@0.773800:0.811277:0.813596:0.811277:0.813596:0.794843:0.773800:0.794843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada –6 ∙ 2:@0.293647:0.835061:0.418882:0.835061:0.418882:0.818627:0.293647:0.818627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7( (8)–1):@0.418704:0.829003:0.458517:0.829003:0.458517:0.819422:0.418704:0.819422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.426688:0.829003:0.434393:0.829003:0.434393:0.819438:0.426688:0.819438:0.000000:0.000000
 es 0 ya que es una constante.:@0.458450:0.835067:0.674389:0.835067:0.674389:0.818633:0.458450:0.818633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumamos las derivadas de cada término:@0.293668:0.858851:0.586543:0.858851:0.586543:0.842417:0.293668:0.842417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.298063:0.879178:0.314721:0.879178:0.314721:0.862772:0.298063:0.862772:0.000000:0.000000
dx:@0.298081:0.895570:0.314721:0.895570:0.314721:0.879164:0.298081:0.879164:0.000000:0.000000
  =3 ∙ 2 .cosx ∙ ln2+ 8 ∙ :@0.319065:0.886916:0.486478:0.886910:0.486478:0.870476:0.319065:0.870483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.346750:0.886916:0.350063:0.886916:0.350063:0.870510:0.346750:0.870510:0.000000
senx:@0.365967:0.880846:0.383974:0.880846:0.383974:0.871282:0.365967:0.871282:0.000000:0.000000:0.000000:0.000000
 :@0.419512:0.886910:0.422825:0.886910:0.422825:0.870504:0.419512:0.870504:0.000000
  e:@0.476078:0.886910:0.494172:0.886910:0.494172:0.870504:0.476078:0.870504:0.000000:0.000000:0.000000
cosx:@0.494127:0.880846:0.511832:0.880846:0.511832:0.871282:0.494127:0.871282:0.000000:0.000000:0.000000:0.000000
 (–:@0.511796:0.886910:0.529762:0.886910:0.529762:0.870476:0.511796:0.870476:0.000000:0.000000:0.000000
senx:@0.529670:0.886910:0.560557:0.886910:0.560557:0.870504:0.529670:0.870504:0.000000:0.000000:0.000000:0.000000
) – 10:@0.560520:0.886910:0.600261:0.886910:0.600261:0.870476:0.560520:0.870476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx  sec x :@0.600151:0.886910:0.683235:0.886910:0.683235:0.870504:0.600151:0.870504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙ :@0.634720:0.886910:0.641880:0.886910:0.641880:0.870476:0.634720:0.870476:0.000000:0.000000
2:@0.663392:0.880846:0.668628:0.880846:0.668628:0.871265:0.663392:0.871265:0.000000
  – 0:@0.668582:0.886910:0.705250:0.886910:0.705250:0.870476:0.668582:0.870476:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta: :@0.293663:0.917642:0.375108:0.917642:0.375108:0.901208:0.293663:0.901208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.379366:0.910806:0.396025:0.910806:0.396025:0.894400:0.379366:0.894400:0.000000:0.000000
dx:@0.379366:0.927198:0.396006:0.927198:0.396006:0.910792:0.379366:0.910792:0.000000:0.000000
 = 3 ∙ 2:@0.400350:0.917643:0.447344:0.917643:0.447344:0.901209:0.400350:0.901209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.428035:0.917643:0.431348:0.917643:0.431348:0.901237:0.428035:0.901237:0.000000
senx:@0.447269:0.911581:0.465276:0.911581:0.465276:0.902016:0.447269:0.902016:0.000000:0.000000:0.000000:0.000000
 :@0.465251:0.917644:0.468564:0.917644:0.468564:0.901238:0.465251:0.901238:0.000000
∙ cosx ∙ ln2 – 8 ∙ :@0.468491:0.917644:0.577167:0.917644:0.577167:0.901211:0.468491:0.901211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.508011:0.917644:0.511324:0.917644:0.511324:0.901238:0.508011:0.901238:0.000000
  e:@0.566767:0.917644:0.584861:0.917644:0.584861:0.901238:0.566767:0.901238:0.000000:0.000000:0.000000
cosx:@0.584809:0.911581:0.602514:0.911581:0.602514:0.902016:0.584809:0.902016:0.000000:0.000000:0.000000:0.000000
 :@0.602479:0.917644:0.606510:0.917644:0.606510:0.901211:0.602479:0.901211:0.000000
senx :@0.606436:0.917644:0.640563:0.917644:0.640563:0.901238:0.606436:0.901238:0.000000:0.000000:0.000000:0.000000:0.000000
– 10:@0.640526:0.917644:0.671506:0.917644:0.671506:0.901211:0.640526:0.901211:0.000000:0.000000:0.000000:0.000000
tanx  sec  x:@0.671395:0.917644:0.750538:0.917644:0.750538:0.901238:0.671395:0.901238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙ :@0.705964:0.917644:0.713125:0.917644:0.713125:0.901211:0.705964:0.901211:0.000000:0.000000
2:@0.734653:0.911581:0.739890:0.911581:0.739890:0.902000:0.734653:0.902000:0.000000
Las derivadas logarítmicas :@0.079392:0.274138:0.255284:0.274138:0.255284:0.259198:0.079392:0.259198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a analizar cambios :@0.079392:0.289267:0.256581:0.289267:0.256581:0.274327:0.079392:0.274327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en fenómenos que crecen :@0.079392:0.304396:0.256649:0.304396:0.256649:0.289456:0.079392:0.289456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o decrecen de forma lenta, :@0.079392:0.319524:0.259948:0.319524:0.259948:0.304585:0.079392:0.304585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el pH, la intensidad :@0.079392:0.334653:0.250739:0.334653:0.250739:0.319714:0.079392:0.319714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonora o el crecimiento :@0.079392:0.349782:0.238234:0.349782:0.238234:0.334843:0.079392:0.334843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
económico.:@0.079392:0.364911:0.157315:0.364911:0.157315:0.349971:0.079392:0.349971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo,:@0.079392:0.380040:0.161927:0.380040:0.161927:0.365100:0.079392:0.365100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.079392:0.399166:0.083057:0.399166:0.083057:0.384226:0.079392:0.384226:0.000000
d:@0.091091:0.393530:0.100350:0.393530:0.100350:0.377124:0.091091:0.377124:0.000000
dx:@0.087391:0.409922:0.104031:0.409922:0.104031:0.393516:0.087391:0.393516:0.000000:0.000000
 ln(x)= :@0.108377:0.399161:0.153776:0.399161:0.153776:0.384221:0.108377:0.384221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.161903:0.393530:0.170885:0.393530:0.170885:0.377096:0.161903:0.377096:0.000000
x:@0.162676:0.409922:0.170131:0.409922:0.170131:0.393516:0.162676:0.393516:0.000000
x:@0.179050:0.399161:0.186229:0.399161:0.186229:0.384221:0.179050:0.384221:0.000000
• Economía: :@0.079392:0.428584:0.164441:0.428584:0.164441:0.413430:0.079392:0.413430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para modelar :@0.164349:0.428584:0.256218:0.428584:0.256218:0.413644:0.164349:0.413644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tasas de crecimiento :@0.088879:0.443713:0.228209:0.443713:0.228209:0.428773:0.088879:0.428773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcional.:@0.088879:0.458842:0.176545:0.458842:0.176545:0.443902:0.088879:0.443902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Física: :@0.079392:0.473971:0.133154:0.473971:0.133154:0.458817:0.079392:0.458817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en análisis de :@0.133057:0.473971:0.224675:0.473971:0.224675:0.459031:0.133057:0.459031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalas logarítmicas, :@0.088879:0.489100:0.225766:0.489100:0.225766:0.474160:0.088879:0.474160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como la magnitud de :@0.088879:0.504229:0.235562:0.504229:0.235562:0.489289:0.088879:0.489289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terremotos.:@0.088879:0.519358:0.164828:0.519358:0.164828:0.504418:0.088879:0.504418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Matemáticas: :@0.079392:0.534487:0.184043:0.534487:0.184043:0.519332:0.079392:0.519332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplifican :@0.183944:0.534487:0.258577:0.534487:0.258577:0.519547:0.183944:0.519547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos o cocientes :@0.088879:0.549615:0.239993:0.549615:0.239993:0.534676:0.088879:0.534676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al usar propiedades :@0.088879:0.564744:0.221371:0.564744:0.221371:0.549805:0.088879:0.549805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logarítmicas.:@0.088879:0.579873:0.172169:0.579873:0.172169:0.564934:0.088879:0.564934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.078588:0.213816:0.201997:0.213816:0.201997:0.198410:0.078588:0.198410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078588:0.228945:0.164081:0.228945:0.164081:0.214005:0.078588:0.214005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otras disciplinas:@0.078588:0.244074:0.193817:0.244074:0.193817:0.229134:0.078588:0.229134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000