139:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603971:0.043660:0.926928:0.043660:0.926928:0.024915:0.603971:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para calcular la derivada de   respecto a x, es decir,  :@0.087319:0.147844:0.453996:0.147844:0.453996:0.131410:0.087319:0.131410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.284734:0.147844:0.292208:0.147844:0.292208:0.131438:0.284734:0.131438:0.000000
dy:@0.459438:0.141006:0.476096:0.141006:0.476096:0.124599:0.459438:0.124599:0.000000:0.000000
dx:@0.459438:0.157398:0.476078:0.157398:0.476078:0.140992:0.459438:0.140992:0.000000:0.000000
 o  ´ hay que seguir una regla :@0.482005:0.147843:0.696232:0.147843:0.696232:0.131409:0.482005:0.131409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.498829:0.147843:0.506302:0.147843:0.506302:0.131436:0.498829:0.131436:0.000000
que contiene los siguientes pasos::@0.087298:0.164484:0.335108:0.164484:0.335108:0.148051:0.087298:0.148051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.087298:0.188268:0.145826:0.188268:0.145826:0.171599:0.087298:0.171599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivar ambos lados de la igualdad aplicando la regla de la cadena y las :@0.146901:0.188268:0.696344:0.188268:0.696344:0.171835:0.146901:0.171835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demás reglas para derivar. :@0.087298:0.204910:0.279229:0.204910:0.279229:0.188476:0.087298:0.188476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2. :@0.087298:0.228694:0.143584:0.228694:0.143584:0.212025:0.087298:0.212025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dejar en el lado izquierdo de la igualdad todos los términos que contengan :@0.143661:0.228694:0.696416:0.228694:0.696416:0.212260:0.143661:0.212260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la derivada (:@0.087298:0.246917:0.187242:0.246917:0.187242:0.230483:0.087298:0.230483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.190539:0.241881:0.207198:0.241881:0.207198:0.225475:0.190539:0.225475:0.000000:0.000000
dx:@0.190558:0.258274:0.207198:0.258274:0.207198:0.241868:0.190558:0.241868:0.000000:0.000000
 o  ´) y al lado derecho todos los términos que no la contengan.:@0.210585:0.246930:0.671744:0.246930:0.671744:0.230496:0.210585:0.230496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.228201:0.246930:0.235674:0.246930:0.235674:0.230523:0.228201:0.230523:0.000000
Paso 3. :@0.087330:0.274083:0.145059:0.274083:0.145059:0.257414:0.087330:0.257414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar en el lado izquierdo de la igualdad  :@0.145813:0.274083:0.488667:0.274083:0.488667:0.257650:0.145813:0.257650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.492808:0.267255:0.509467:0.267255:0.509467:0.250849:0.492808:0.250849:0.000000:0.000000
dx:@0.492808:0.283647:0.509448:0.283647:0.509448:0.267241:0.492808:0.267241:0.000000:0.000000
 o  ´ dependiendo de la :@0.512706:0.274092:0.696043:0.274092:0.696043:0.257658:0.512706:0.257658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.532163:0.274092:0.539636:0.274092:0.539636:0.257686:0.532163:0.257686:0.000000
notación que se utilice.  :@0.087315:0.290734:0.262876:0.290734:0.262876:0.274300:0.087315:0.274300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4. :@0.087315:0.318789:0.143435:0.318789:0.143435:0.302120:0.087315:0.302120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejar :@0.143328:0.318789:0.211391:0.318789:0.211391:0.302356:0.143328:0.302356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.215672:0.311057:0.232331:0.311057:0.232331:0.294651:0.215672:0.294651:0.000000:0.000000
dx:@0.215690:0.327450:0.232331:0.327450:0.232331:0.311043:0.215690:0.311043:0.000000:0.000000
 o  ´.  :@0.236675:0.318796:0.278404:0.318796:0.278404:0.302362:0.236675:0.302362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.254290:0.318796:0.261764:0.318796:0.261764:0.302390:0.254290:0.302390:0.000000
Ejemplo 1. :@0.073089:0.378956:0.156437:0.378956:0.156437:0.362286:0.073089:0.362286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   + 4 – x – 8 = 0, encuentra :@0.156309:0.378956:0.390056:0.378947:0.390056:0.362513:0.156309:0.362522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.176428:0.378956:0.183883:0.378956:0.183883:0.362550:0.176428:0.362550:0.000000
2 :@0.183831:0.372883:0.191375:0.372883:0.191375:0.363302:0.183831:0.363302:0.000000:0.000000
y:@0.215070:0.378947:0.222543:0.378947:0.222543:0.362541:0.215070:0.362541:0.000000
3 :@0.222474:0.372883:0.230018:0.372883:0.230018:0.363302:0.222474:0.363302:0.000000:0.000000
dy:@0.394226:0.371216:0.410884:0.371216:0.410884:0.354810:0.394226:0.354810:0.000000:0.000000
dx:@0.394226:0.387608:0.410866:0.387608:0.410866:0.371202:0.394226:0.371202:0.000000:0.000000
.:@0.415210:0.378955:0.418413:0.378955:0.418413:0.362521:0.415210:0.362521:0.000000
Solución::@0.073093:0.413168:0.139517:0.413168:0.139517:0.396734:0.073093:0.396734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.139396:0.413168:0.143427:0.413168:0.143427:0.396734:0.139396:0.396734:0.000000
         :@0.349685:0.413161:0.385377:0.413161:0.385377:0.396727:0.349685:0.396727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.688342:0.413161:0.691545:0.413161:0.691545:0.396727:0.688342:0.396727:0.000000
La expresión del resultado es válida para los valores   e   que satisfacen la ecuación :@0.073089:0.444097:0.710330:0.444097:0.710330:0.427664:0.073089:0.427664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.468256:0.444097:0.475711:0.444097:0.475711:0.427691:0.468256:0.427691:0.000000
y:@0.495314:0.444097:0.502788:0.444097:0.502788:0.427691:0.495314:0.427691:0.000000
inicial.:@0.073107:0.460739:0.117461:0.460739:0.117461:0.444305:0.073107:0.444305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2. :@0.073107:0.493260:0.156455:0.493260:0.156455:0.476591:0.073107:0.476591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra :@0.156326:0.493260:0.234392:0.493260:0.234392:0.476826:0.156326:0.476826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.240226:0.484635:0.256884:0.484635:0.256884:0.468229:0.240226:0.468229:0.000000:0.000000
dx:@0.240244:0.501028:0.256884:0.501028:0.256884:0.484622:0.240244:0.484622:0.000000:0.000000
 si  + 2   + 3 = 0.:@0.262811:0.493261:0.416027:0.493261:0.416027:0.476828:0.262811:0.476828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.281255:0.493261:0.288710:0.493261:0.288710:0.476855:0.281255:0.476855:0.000000
2 :@0.288643:0.487198:0.296187:0.487198:0.296187:0.477617:0.288643:0.477617:0.000000:0.000000
x y :@0.319882:0.493261:0.347128:0.493261:0.347128:0.476855:0.319882:0.476855:0.000000:0.000000:0.000000:0.000000
2:@0.327267:0.487198:0.332504:0.487198:0.332504:0.477617:0.327267:0.477617:0.000000
xy :@0.370818:0.493261:0.389122:0.493261:0.389122:0.476855:0.370818:0.476855:0.000000:0.000000:0.000000
Solución: en lugar de utilizar :@0.073099:0.525782:0.281536:0.525782:0.281536:0.509349:0.073099:0.509349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.287233:0.517156:0.303891:0.517156:0.303891:0.500750:0.287233:0.500750:0.000000:0.000000
dx:@0.287251:0.533549:0.303891:0.533549:0.303891:0.517142:0.287251:0.517142:0.000000:0.000000
, utilizaremos  ´ para buscar mayor simplicidad.:@0.309818:0.525782:0.650091:0.525782:0.650091:0.509349:0.309818:0.509349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.408592:0.525782:0.416065:0.525782:0.416065:0.509376:0.408592:0.509376:0.000000
                 2 + (2   ´+ 4 ) + (3 ´ + 3 ) = 0.:@0.073083:0.553144:0.384994:0.553146:0.384994:0.536712:0.073083:0.536710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.149141:0.553144:0.159836:0.553144:0.159836:0.536738:0.149141:0.536738:0.000000:0.000000
x y:@0.188312:0.553144:0.212334:0.553146:0.212334:0.536739:0.188312:0.536738:0.000000:0.000000:0.000000
2:@0.195712:0.547082:0.200949:0.547082:0.200949:0.537501:0.195712:0.537501:0.000000
xy:@0.241435:0.553146:0.256493:0.553146:0.256493:0.536739:0.241435:0.536739:0.000000:0.000000
xy:@0.293730:0.553146:0.308788:0.553146:0.308788:0.536739:0.293730:0.536739:0.000000:0.000000
y:@0.341865:0.553146:0.349339:0.553146:0.349339:0.536739:0.341865:0.536739:0.000000
                  2   ´ + 3 ´= –2  – 4  – 3:@0.073083:0.580508:0.337804:0.580509:0.337804:0.564075:0.073083:0.564074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.153099:0.580508:0.177109:0.580509:0.177109:0.564103:0.153099:0.564101:0.000000:0.000000:0.000000
2:@0.160487:0.574445:0.165724:0.574445:0.165724:0.564864:0.160487:0.564864:0.000000
xy:@0.210168:0.580509:0.225225:0.580509:0.225225:0.564103:0.210168:0.564103:0.000000:0.000000
x:@0.263476:0.580509:0.270931:0.580509:0.270931:0.564103:0.263476:0.564103:0.000000
xy:@0.296774:0.580509:0.311831:0.580509:0.311831:0.564103:0.296774:0.564103:0.000000:0.000000
y:@0.337694:0.580509:0.345167:0.580509:0.345167:0.564103:0.337694:0.564103:0.000000
                  ´(2 + 3 ) = –2 – 4 – 3:@0.073071:0.607871:0.327350:0.607872:0.327350:0.591438:0.073071:0.591437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.140221:0.607871:0.147694:0.607871:0.147694:0.591465:0.140221:0.591465:0.000000
x:@0.166764:0.607871:0.174219:0.607871:0.174219:0.591465:0.166764:0.591465:0.000000
2 :@0.174182:0.601808:0.181726:0.601808:0.181726:0.592227:0.174182:0.592227:0.000000:0.000000
x:@0.205421:0.607872:0.212876:0.607872:0.212876:0.591466:0.205421:0.591466:0.000000
x :@0.254421:0.607872:0.265115:0.607872:0.265115:0.591466:0.254421:0.591466:0.000000:0.000000
xy :@0.287039:0.607872:0.305343:0.607872:0.305343:0.591466:0.287039:0.591466:0.000000:0.000000:0.000000
y:@0.327258:0.607872:0.334732:0.607872:0.334732:0.591466:0.327258:0.591466:0.000000
                :@0.073091:0.656258:0.136486:0.656258:0.136486:0.639824:0.073091:0.639824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, :@0.073089:0.687986:0.164035:0.687986:0.164035:0.671552:0.073089:0.671552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 .:@0.326151:0.687986:0.333311:0.687986:0.333311:0.671552:0.326151:0.671552:0.000000:0.000000
Ejemplo 3. :@0.073089:0.729645:0.156437:0.729645:0.156437:0.712975:0.073089:0.712975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra dy/dx  si   :@0.156308:0.729645:0.315325:0.729645:0.315325:0.713211:0.156308:0.713211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x tan tan y:@0.298707:0.729645:0.377027:0.729645:0.377027:0.713239:0.298707:0.713239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.306105:0.723581:0.311342:0.723581:0.311342:0.714000:0.306105:0.714000:0.000000
 = :@0.377027:0.729645:0.395912:0.729645:0.395912:0.713211:0.377027:0.713211:0.000000:0.000000:0.000000
y cos cos x:@0.395820:0.729645:0.466096:0.729645:0.466096:0.713239:0.395820:0.713239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.466081:0.729645:0.469284:0.729645:0.469284:0.713211:0.466081:0.713211:0.000000
Solución: :@0.073089:0.757008:0.143470:0.757008:0.143470:0.740574:0.073089:0.740574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y y:@0.148392:0.757008:0.183759:0.757008:0.183759:0.740602:0.148392:0.740602:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.155780:0.750944:0.161017:0.750944:0.161017:0.741363:0.155780:0.741363:0.000000
    ´+ 3  :@0.160971:0.757008:0.229479:0.757008:0.229479:0.740574:0.160971:0.740574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x tan y:@0.212861:0.757008:0.264029:0.757008:0.264029:0.740602:0.212861:0.740602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.220259:0.750944:0.225496:0.750944:0.225496:0.741363:0.220259:0.741363:0.000000
 =  (– ) + :@0.263993:0.757008:0.335174:0.757008:0.335174:0.740574:0.263993:0.740574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y x:@0.282786:0.757008:0.311557:0.757008:0.311557:0.740602:0.282786:0.740602:0.000000:0.000000:0.000000
cos x y:@0.335063:0.757008:0.379248:0.757008:0.379248:0.740602:0.335063:0.740602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
´:@0.379222:0.757008:0.384744:0.757008:0.384744:0.740574:0.379222:0.740574:0.000000
 :@0.073089:0.777223:0.077120:0.777223:0.077120:0.760789:0.073089:0.760789:0.000000
x y y:@0.148392:0.777223:0.183759:0.777223:0.183759:0.760817:0.148392:0.760817:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.155780:0.771159:0.161017:0.771159:0.161017:0.761578:0.155780:0.761578:0.000000
    ´– :@0.160971:0.777223:0.202295:0.777223:0.202295:0.760789:0.160971:0.760789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x y:@0.202203:0.777223:0.246388:0.777223:0.246388:0.760817:0.202203:0.760817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
´= – :@0.246362:0.777223:0.279826:0.777223:0.279826:0.760789:0.246362:0.760789:0.000000:0.000000:0.000000:0.000000:0.000000
y sin x:@0.279716:0.777223:0.320488:0.777223:0.320488:0.760817:0.279716:0.760817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –3  :@0.320469:0.777223:0.359046:0.777223:0.359046:0.760789:0.320469:0.760789:0.000000:0.000000:0.000000:0.000000:0.000000
x tan y:@0.342448:0.777223:0.393596:0.777223:0.393596:0.760817:0.342448:0.760817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.349826:0.771159:0.355063:0.771159:0.355063:0.761578:0.349826:0.761578:0.000000
 :@0.393633:0.777223:0.397664:0.777223:0.397664:0.760789:0.393633:0.760789:0.000000
 :@0.073089:0.804586:0.077120:0.804586:0.077120:0.788152:0.073089:0.788152:0.000000
y x y cos x:@0.148392:0.804586:0.240546:0.804586:0.240546:0.788180:0.148392:0.788180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
´(    – :@0.155791:0.804586:0.207092:0.804586:0.207092:0.788152:0.155791:0.788152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.173426:0.798522:0.178662:0.798522:0.178662:0.788941:0.173426:0.788941:0.000000
) = –:@0.240502:0.804586:0.273322:0.804586:0.273322:0.788152:0.240502:0.788152:0.000000:0.000000:0.000000:0.000000:0.000000
y sin x:@0.273211:0.804586:0.313983:0.804586:0.313983:0.788180:0.273211:0.788180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – 3:@0.313965:0.804586:0.339993:0.804586:0.339993:0.788152:0.313965:0.788152:0.000000:0.000000:0.000000:0.000000
x  tan y:@0.339882:0.804586:0.390328:0.804586:0.390328:0.788180:0.339882:0.788180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.347275:0.798522:0.352512:0.798522:0.352512:0.788941:0.347275:0.788941:0.000000
 :@0.390365:0.804586:0.394396:0.804586:0.394396:0.788152:0.390365:0.788152:0.000000
 :@0.073089:0.852162:0.077120:0.852162:0.077120:0.835728:0.073089:0.835728:0.000000
Por lo tanto, :@0.073089:0.888122:0.164035:0.888122:0.164035:0.871688:0.073089:0.871688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.382427:0.888122:0.385629:0.888122:0.385629:0.871688:0.382427:0.871688:0.000000
La expresión del resultado es válida para los valores   y  , para los cuales están definidas :@0.073089:0.926206:0.710554:0.926206:0.710554:0.909772:0.073089:0.909772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.448670:0.926206:0.479742:0.926206:0.479742:0.909800:0.448670:0.909800:0.000000:0.000000:0.000000
la funciones trigonométricas :@0.073089:0.942848:0.284428:0.942848:0.284428:0.926414:0.073089:0.926414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x cos x tan x sec x:@0.284165:0.942848:0.448670:0.942848:0.448670:0.926442:0.284165:0.926442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.318255:0.942848:0.325415:0.942848:0.325415:0.926414:0.318255:0.926414:0.000000:0.000000
, :@0.358824:0.942848:0.365985:0.942848:0.365985:0.926414:0.358824:0.926414:0.000000:0.000000
 y :@0.400462:0.942848:0.416476:0.942848:0.416476:0.926414:0.400462:0.926414:0.000000:0.000000:0.000000
.:@0.448633:0.942848:0.451836:0.942848:0.451836:0.926414:0.448633:0.926414:0.000000
Imagina una ecuación que :@0.740548:0.313844:0.920189:0.313844:0.920189:0.298904:0.740548:0.298904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciona la presión arterial :@0.740548:0.327712:0.920454:0.327712:0.920454:0.312772:0.740548:0.312772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(PA) :@0.740548:0.341580:0.767982:0.341580:0.767982:0.326665:0.740548:0.326665:0.000000:0.000000:0.000000:0.000000:0.000000
y el ritmo cardíaco :@0.767925:0.341580:0.892984:0.341580:0.892984:0.326640:0.767925:0.326640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(RC)::@0.892793:0.341580:0.922141:0.341580:0.922141:0.326665:0.892793:0.326665:0.000000:0.000000:0.000000:0.000000:0.000000
F(PA,RC):@0.740531:0.362597:0.792810:0.362597:0.792810:0.347682:0.740531:0.347682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=0.:@0.792774:0.362597:0.813692:0.362597:0.813692:0.347657:0.792774:0.347657:0.000000:0.000000:0.000000
Al aplicar la derivación :@0.740531:0.383613:0.891765:0.383613:0.891765:0.368673:0.740531:0.368673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implícita, se puede :@0.740531:0.397481:0.868261:0.397481:0.868261:0.382542:0.740531:0.382542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar cómo un :@0.740531:0.411350:0.881367:0.411350:0.881367:0.396410:0.740531:0.396410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambio en la presión :@0.740531:0.425218:0.882262:0.425218:0.882262:0.410278:0.740531:0.410278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arterial afecta al ritmo :@0.740531:0.439086:0.887197:0.439086:0.887197:0.424146:0.740531:0.424146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cardíaco o viceversa. Esto :@0.740531:0.452954:0.910740:0.452954:0.910740:0.438014:0.740531:0.438014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se hace al derivar ambos :@0.740531:0.466822:0.906508:0.466822:0.906508:0.451883:0.740531:0.451883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados de la ecuación :@0.740531:0.480691:0.878569:0.480691:0.878569:0.465751:0.740531:0.465751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto a una de las :@0.740531:0.494559:0.883236:0.494559:0.883236:0.479619:0.740531:0.479619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables (por ejemplo, :@0.740531:0.508427:0.893817:0.508427:0.893817:0.493487:0.740531:0.493487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el tiempo,  ) y luego :@0.740531:0.522295:0.875590:0.522295:0.875590:0.507355:0.740531:0.507355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.809960:0.522295:0.814846:0.522295:0.814846:0.507381:0.809960:0.507381:0.000000
resolviendo para la :@0.740531:0.536163:0.868539:0.536163:0.868539:0.521224:0.740531:0.521224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada de interés.:@0.740531:0.550032:0.868905:0.550032:0.868905:0.535092:0.740531:0.535092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivación implícita :@0.740531:0.571048:0.892118:0.571048:0.892118:0.556108:0.740531:0.556108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite a los médicos y :@0.740531:0.584916:0.900838:0.584916:0.900838:0.569977:0.740531:0.569977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científicos evaluar cómo :@0.740531:0.598785:0.904466:0.598785:0.904466:0.583845:0.740531:0.583845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeñas variaciones en :@0.740531:0.612653:0.907863:0.612653:0.907863:0.597713:0.740531:0.597713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un parámetro (como el :@0.740531:0.626521:0.896712:0.626521:0.896712:0.611581:0.740531:0.611581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ritmo cardíaco) pueden :@0.740531:0.640389:0.899674:0.640389:0.899674:0.625449:0.740531:0.625449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afectar a otro (como la :@0.740531:0.654257:0.892366:0.654257:0.892366:0.639317:0.740531:0.639317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión arterial). Esta :@0.740531:0.668126:0.879747:0.668126:0.879747:0.653186:0.740531:0.653186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
información es crucial :@0.740531:0.681994:0.888544:0.681994:0.888544:0.667054:0.740531:0.667054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para identificar riesgos y :@0.740531:0.695862:0.903630:0.695862:0.903630:0.680922:0.740531:0.680922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establecer un diagnóstico :@0.740531:0.709730:0.914624:0.709730:0.914624:0.694790:0.740531:0.694790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preciso.:@0.740531:0.723598:0.790870:0.723598:0.790870:0.708658:0.740531:0.708658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.740294:0.262046:0.799873:0.262046:0.799873:0.246640:0.740294:0.246640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.740294:0.277175:0.815830:0.277175:0.815830:0.261768:0.740294:0.261768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.740294:0.292304:0.807982:0.292304:0.807982:0.276897:0.740294:0.276897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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