200:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Integración:@0.073089:0.043661:0.176062:0.043661:0.176062:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con el propósito de tener una idea acerca de los temas de estudio del cálculo diferencial e :@0.293660:0.244955:0.931343:0.244955:0.931343:0.229243:0.293660:0.229243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral, presentamos dos problemas que originaron el desarrollo de estos temas.:@0.293660:0.263233:0.867843:0.263233:0.867843:0.247521:0.293660:0.247521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problema 1  :@0.293660:0.304034:0.386856:0.304034:0.386856:0.287364:0.293660:0.287364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Consideremos una función real   definida en el intervalo cerrado  ,   de   :@0.379824:0.304034:0.930938:0.304034:0.930938:0.288321:0.379824:0.288321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.616155:0.304034:0.620849:0.304034:0.620849:0.288598:0.616155:0.288598:0.000000
F:@0.853793:0.304616:0.857879:0.304616:0.857879:0.286962:0.853793:0.286962:0.000000
a b:@0.857787:0.304034:0.883208:0.304034:0.883208:0.288598:0.857787:0.288598:0.000000:0.000000:0.000000
G:@0.883134:0.304616:0.887220:0.304616:0.887220:0.286962:0.883134:0.286962:0.000000
R:@0.913616:0.303174:0.926906:0.303174:0.926906:0.290276:0.913616:0.290276:0.000000
y asociemos a   el grafo  ( ), esto es,:@0.293660:0.322312:0.551146:0.322312:0.551146:0.306599:0.293660:0.306599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.398821:0.322312:0.403515:0.322312:0.403515:0.306877:0.398821:0.306877:0.000000
G f:@0.465547:0.322312:0.485869:0.322312:0.485869:0.306877:0.465547:0.306877:0.000000:0.000000:0.000000
G f:@0.519867:0.363112:0.540188:0.363112:0.540188:0.347677:0.519867:0.347677:0.000000:0.000000:0.000000
( )   {( ,  ( ))        ,  }.:@0.530690:0.363112:0.700695:0.363107:0.700695:0.347395:0.530690:0.347400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.548858:0.362557:0.564192:0.362557:0.564192:0.348842:0.548858:0.348842:0.000000
x f x:@0.577647:0.363112:0.608976:0.363112:0.608976:0.347677:0.577647:0.347677:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.622450:0.363695:0.625525:0.363695:0.625525:0.346040:0.622450:0.346040:0.000000
x:@0.629390:0.363112:0.636845:0.363112:0.636845:0.347677:0.629390:0.347677:0.000000
[:@0.640754:0.362817:0.655390:0.362817:0.655390:0.349407:0.640754:0.349407:0.000000
F:@0.659260:0.363690:0.663346:0.363690:0.663346:0.346035:0.659260:0.346035:0.000000
a b:@0.663254:0.363107:0.688767:0.363107:0.688767:0.347672:0.663254:0.347672:0.000000:0.000000:0.000000
G:@0.688693:0.363690:0.692780:0.363690:0.692780:0.346035:0.688693:0.346035:0.000000
En el cálculo diferencial se estudian problemas fundamentales. Por ejemplo, hallar la :@0.293655:0.403907:0.930425:0.403907:0.930425:0.388195:0.293655:0.388195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación cartesiana o vectorial de la recta tangente a la gráfica de la función   en el punto :@0.293655:0.422186:0.930980:0.422186:0.930980:0.406473:0.293655:0.406473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.836043:0.422186:0.840737:0.422186:0.840737:0.406750:0.836043:0.406750:0.000000
P:@0.293637:0.440464:0.302399:0.440464:0.302399:0.425029:0.293637:0.425029:0.000000
   ( ,  ( )), donde      ,  . Originalmente, el concepto de derivada se introdujo para :@0.302196:0.440464:0.931190:0.440465:0.931190:0.424753:0.302196:0.424751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.306430:0.439909:0.321763:0.439909:0.321763:0.426194:0.306430:0.426194:0.000000
x f x:@0.330451:0.440464:0.366668:0.440465:0.366668:0.425030:0.330451:0.425029:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.337715:0.443638:0.342952:0.443638:0.342952:0.434477:0.337715:0.434477:0.000000
0:@0.366462:0.443638:0.371699:0.443638:0.371699:0.434477:0.366462:0.434477:0.000000
x:@0.439943:0.440465:0.447398:0.440465:0.447398:0.425030:0.439943:0.425030:0.000000
0:@0.447198:0.443638:0.452435:0.443638:0.452435:0.434477:0.447198:0.434477:0.000000
[:@0.456541:0.440175:0.471177:0.440175:0.471177:0.426765:0.456541:0.426765:0.000000
G:@0.475213:0.441048:0.479299:0.441048:0.479299:0.423393:0.475213:0.423393:0.000000
a b:@0.479096:0.440465:0.504627:0.440465:0.504627:0.425030:0.479096:0.425030:0.000000:0.000000:0.000000
F:@0.504425:0.441048:0.508511:0.441048:0.508511:0.423393:0.504425:0.423393:0.000000
resolver problemas relativos a tangentes de curvas. Más adelante, se aplicó al cálculo de :@0.293680:0.458744:0.930753:0.458744:0.930753:0.443031:0.293680:0.443031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidades y también se aplicó al estudio de variación de la función y la razón de :@0.293680:0.477022:0.931256:0.477022:0.931256:0.461309:0.293680:0.461309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento. Este problema ya fue tratado con funciones cuadráticas anteriormente.:@0.293680:0.495300:0.886088:0.495300:0.886088:0.479587:0.293680:0.479587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean     0,     ( ,  ( )),     (     ,   (     ))    ( ).:@0.293680:0.536100:0.694649:0.536103:0.694649:0.520390:0.293680:0.520388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.333090:0.536100:0.342588:0.536100:0.342588:0.520665:0.333090:0.520665:0.000000
±:@0.346472:0.536641:0.361805:0.536641:0.361805:0.521469:0.346472:0.521469:0.000000
P:@0.381630:0.536100:0.390392:0.536100:0.390392:0.520665:0.381630:0.520665:0.000000
0:@0.390315:0.539275:0.395552:0.539275:0.395552:0.530115:0.390315:0.530115:0.000000
5:@0.399462:0.535548:0.414795:0.535548:0.414795:0.521832:0.399462:0.521832:0.000000
x f x:@0.423446:0.536103:0.459970:0.536103:0.459970:0.520668:0.423446:0.520668:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.430833:0.539275:0.436070:0.539275:0.436070:0.530115:0.430833:0.530115:0.000000
0:@0.459908:0.539275:0.465145:0.539275:0.465145:0.530115:0.459908:0.530115:0.000000
P:@0.481757:0.536103:0.490519:0.536103:0.490519:0.520668:0.481757:0.520668:0.000000
1:@0.490460:0.539275:0.495697:0.539275:0.495697:0.530115:0.490460:0.530115:0.000000
5:@0.499609:0.535548:0.514942:0.535548:0.514942:0.521832:0.499609:0.521832:0.000000
x:@0.523593:0.536103:0.531048:0.536103:0.531048:0.520668:0.523593:0.520668:0.000000
0:@0.530978:0.539275:0.536215:0.539275:0.536215:0.530115:0.530978:0.530115:0.000000
1:@0.540127:0.535548:0.555460:0.535548:0.555460:0.521832:0.540127:0.521832:0.000000
h f x:@0.559325:0.536103:0.596655:0.536103:0.596655:0.520668:0.559325:0.520668:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.596578:0.539275:0.601815:0.539275:0.601815:0.530115:0.596578:0.530115:0.000000
1:@0.605727:0.535548:0.621060:0.535548:0.621060:0.521832:0.605727:0.521832:0.000000
h:@0.624925:0.536103:0.634424:0.536103:0.634424:0.520668:0.624925:0.520668:0.000000
[:@0.647888:0.535813:0.662524:0.535813:0.662524:0.522403:0.647888:0.522403:0.000000
G f:@0.666394:0.536103:0.686715:0.536103:0.686715:0.520668:0.666394:0.520668:0.000000:0.000000:0.000000
La pendiente  ( ) de la recta   que pasa por los puntos   y   está definida como:@0.293665:0.576903:0.892336:0.576898:0.892336:0.561185:0.293665:0.561190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m h:@0.393396:0.576903:0.422240:0.576903:0.422240:0.561468:0.393396:0.561468:0.000000:0.000000:0.000000
L:@0.509858:0.576903:0.517479:0.576903:0.517479:0.561468:0.509858:0.561468:0.000000
h:@0.517407:0.580070:0.522944:0.580070:0.522944:0.571072:0.517407:0.571072:0.000000
P:@0.705469:0.576898:0.714231:0.576898:0.714231:0.561463:0.705469:0.561463:0.000000
0:@0.714169:0.580070:0.719406:0.580070:0.719406:0.570910:0.714169:0.570910:0.000000
P:@0.735282:0.576898:0.744044:0.576898:0.744044:0.561463:0.735282:0.561463:0.000000
1:@0.743974:0.580070:0.749210:0.580070:0.749210:0.570910:0.743974:0.570910:0.000000
m h:@0.509373:0.617698:0.538217:0.617698:0.538217:0.602263:0.509373:0.602263:0.000000:0.000000:0.000000
( )   :@0.523915:0.617698:0.566159:0.617698:0.566159:0.601986:0.523915:0.601986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.546887:0.617144:0.562220:0.617144:0.562220:0.603428:0.546887:0.603428:0.000000
f x:@0.570631:0.610362:0.585741:0.610362:0.585741:0.596330:0.570631:0.596330:0.000000:0.000000:0.000000
(:@0.574714:0.610362:0.579148:0.610362:0.579148:0.596078:0.574714:0.596078:0.000000
0:@0.585557:0.613246:0.590318:0.613246:0.590318:0.604918:0.585557:0.604918:0.000000
1 2:@0.590211:0.609858:0.630975:0.609858:0.630975:0.597389:0.590211:0.597389:0.000000:0.000000:0.000000
h:@0.604150:0.610362:0.612785:0.610362:0.612785:0.596330:0.604150:0.596330:0.000000
):@0.612785:0.610362:0.617219:0.610362:0.617219:0.596078:0.612785:0.596078:0.000000
f x:@0.630975:0.610362:0.646085:0.610362:0.646085:0.596330:0.630975:0.596330:0.000000:0.000000:0.000000
( ):@0.635058:0.610362:0.654988:0.610362:0.654988:0.596078:0.635058:0.596078:0.000000:0.000000:0.000000
0:@0.645900:0.613246:0.650660:0.613246:0.650660:0.604918:0.645900:0.604918:0.000000
h:@0.608484:0.626752:0.617119:0.626752:0.617119:0.612720:0.608484:0.612720:0.000000
,     0,:@0.659442:0.617693:0.711204:0.617693:0.711204:0.601981:0.659442:0.601981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.666511:0.617693:0.676009:0.617693:0.676009:0.602258:0.666511:0.602258:0.000000
±:@0.679893:0.618234:0.695226:0.618234:0.695226:0.603062:0.679893:0.603062:0.000000
con lo que la ecuación cartesiana de la recta   se escribe como sigue: :@0.293653:0.658493:0.803174:0.658490:0.803174:0.642777:0.293653:0.642781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.617787:0.658493:0.625407:0.658493:0.625407:0.643058:0.617787:0.643058:0.000000
h:@0.625352:0.661662:0.630890:0.661662:0.630890:0.652663:0.625352:0.652663:0.000000
y:@0.525304:0.699290:0.532777:0.699290:0.532777:0.683855:0.525304:0.683855:0.000000
    ( )    ( )(     ). :@0.532703:0.699290:0.699311:0.699285:0.699311:0.683572:0.532703:0.683577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.536661:0.698735:0.551994:0.698735:0.551994:0.685019:0.536661:0.685019:0.000000
f x:@0.555860:0.699290:0.572739:0.699290:0.572739:0.683855:0.555860:0.683855:0.000000:0.000000:0.000000
0:@0.572662:0.702457:0.577899:0.702457:0.577899:0.693297:0.572662:0.693297:0.000000
5:@0.586595:0.698730:0.601928:0.698730:0.601928:0.685014:0.586595:0.685014:0.000000
m h x:@0.605794:0.699285:0.651609:0.699285:0.651609:0.683850:0.605794:0.683850:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.655493:0.698730:0.670826:0.698730:0.670826:0.685014:0.655493:0.685014:0.000000
x:@0.674692:0.699285:0.682147:0.699285:0.682147:0.683850:0.674692:0.683850:0.000000
0:@0.682083:0.702457:0.687320:0.702457:0.687320:0.693297:0.682083:0.693297:0.000000
El cociente  ( )   :@0.293652:0.740085:0.436823:0.740085:0.436823:0.724372:0.293652:0.724372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m h:@0.378896:0.740085:0.407924:0.740085:0.407924:0.724650:0.378896:0.724650:0.000000:0.000000:0.000000
5:@0.417422:0.739530:0.432755:0.739530:0.432755:0.725815:0.417422:0.725815:0.000000
f x:@0.441927:0.732748:0.457038:0.732748:0.457038:0.718715:0.441927:0.718715:0.000000:0.000000:0.000000
(:@0.446010:0.732748:0.450445:0.732748:0.450445:0.718463:0.446010:0.718463:0.000000
0:@0.456854:0.735631:0.461615:0.735631:0.461615:0.727304:0.456854:0.727304:0.000000
1 2:@0.461508:0.732243:0.502271:0.732243:0.502271:0.719774:0.461508:0.719774:0.000000:0.000000:0.000000
h:@0.475447:0.732748:0.484081:0.732748:0.484081:0.718715:0.475447:0.718715:0.000000
):@0.484081:0.732748:0.488516:0.732748:0.488516:0.718463:0.484081:0.718463:0.000000
f x:@0.502271:0.732748:0.517382:0.732748:0.517382:0.718715:0.502271:0.718715:0.000000:0.000000:0.000000
( ):@0.506354:0.732748:0.526284:0.732748:0.526284:0.718463:0.506354:0.718463:0.000000:0.000000:0.000000
0:@0.517196:0.735631:0.521957:0.735631:0.521957:0.727304:0.517196:0.727304:0.000000
h:@0.479781:0.749137:0.488416:0.749137:0.488416:0.735105:0.479781:0.735105:0.000000
 con     0 se llama cociente incremental; también es :@0.530844:0.740080:0.930755:0.740080:0.930755:0.724367:0.530844:0.724367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.567953:0.740080:0.577451:0.740080:0.577451:0.724645:0.567953:0.724645:0.000000
±:@0.582053:0.740621:0.597387:0.740621:0.597387:0.725449:0.582053:0.725449:0.000000
conocido como tasa de variación de la función   en el punto  . Por su parte, la tangente :@0.293667:0.758358:0.931077:0.758361:0.931077:0.742648:0.293667:0.742646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.635490:0.758358:0.640183:0.758358:0.640183:0.742923:0.635490:0.742923:0.000000
x:@0.731557:0.758358:0.739012:0.758358:0.739012:0.742923:0.731557:0.742923:0.000000
0:@0.738938:0.761533:0.744175:0.761533:0.744175:0.752373:0.738938:0.752373:0.000000
de la medida  ( ) del ángulo que forma la recta   y la recta que pasa por   y:@0.293667:0.776639:0.850973:0.776642:0.850973:0.760929:0.293667:0.760926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.392137:0.775955:0.400923:0.775955:0.400923:0.762862:0.392137:0.762862:0.000000
h:@0.405640:0.776642:0.415138:0.776642:0.415138:0.761206:0.405640:0.761206:0.000000
L:@0.641013:0.776642:0.648634:0.776642:0.648634:0.761206:0.641013:0.761206:0.000000
h:@0.648560:0.779814:0.654098:0.779814:0.654098:0.770815:0.648560:0.770815:0.000000
P:@0.825026:0.776642:0.833788:0.776642:0.833788:0.761206:0.825026:0.761206:0.000000
0:@0.833727:0.779814:0.838964:0.779814:0.838964:0.770653:0.833727:0.770653:0.000000
R:@0.478337:0.817442:0.487283:0.817442:0.487283:0.802007:0.478337:0.802007:0.000000
   (     ,   ( )) está definida como:@0.487209:0.817442:0.742348:0.817437:0.742348:0.801724:0.487209:0.801729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.491167:0.816887:0.506500:0.816887:0.506500:0.803171:0.491167:0.803171:0.000000
x:@0.515151:0.817442:0.522606:0.817442:0.522606:0.802007:0.515151:0.802007:0.000000
0:@0.522553:0.820609:0.527790:0.820609:0.527790:0.811449:0.522553:0.811449:0.000000
1:@0.531701:0.816882:0.547034:0.816882:0.547034:0.803166:0.531701:0.803166:0.000000
h f x:@0.550900:0.817437:0.588230:0.817437:0.588230:0.802002:0.550900:0.802002:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.588153:0.820609:0.593390:0.820609:0.593390:0.811449:0.588153:0.811449:0.000000
tan( ( ))   :@0.496890:0.858237:0.578675:0.858233:0.578675:0.842521:0.496890:0.842524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.524465:0.857546:0.533251:0.857546:0.533251:0.844454:0.524465:0.844454:0.000000
h:@0.537534:0.858233:0.547033:0.858233:0.547033:0.842798:0.537534:0.842798:0.000000
5:@0.559623:0.857679:0.574956:0.857679:0.574956:0.843963:0.559623:0.843963:0.000000
f x:@0.583126:0.850901:0.598237:0.850901:0.598237:0.836869:0.583126:0.836869:0.000000:0.000000:0.000000
(:@0.587209:0.850901:0.591643:0.850901:0.591643:0.836617:0.587209:0.836617:0.000000
0:@0.598053:0.853785:0.602813:0.853785:0.602813:0.845457:0.598053:0.845457:0.000000
1 2:@0.602706:0.850396:0.643470:0.850396:0.643470:0.837928:0.602706:0.837928:0.000000:0.000000:0.000000
h:@0.616646:0.850901:0.625280:0.850901:0.625280:0.836869:0.616646:0.836869:0.000000
):@0.625280:0.850901:0.629715:0.850901:0.629715:0.836617:0.625280:0.836617:0.000000
f x:@0.643470:0.850901:0.658581:0.850901:0.658581:0.836869:0.643470:0.836869:0.000000:0.000000:0.000000
( ):@0.647553:0.850901:0.667485:0.850901:0.667485:0.836617:0.647553:0.836617:0.000000:0.000000:0.000000
0:@0.658397:0.853785:0.663157:0.853785:0.663157:0.845457:0.658397:0.845457:0.000000
h:@0.620981:0.867290:0.629616:0.867290:0.629616:0.853258:0.620981:0.853258:0.000000
,     0.:@0.671938:0.858233:0.723699:0.858233:0.723699:0.842521:0.671938:0.842521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.679006:0.858233:0.688504:0.858233:0.688504:0.842798:0.679006:0.842798:0.000000
±:@0.692388:0.858774:0.707721:0.858774:0.707721:0.843602:0.692388:0.843602:0.000000
Para     0 se tiene          . Nota que para     0 cada vez más pequeño, la :@0.364813:0.899033:0.931071:0.899028:0.931071:0.883316:0.364813:0.883321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.398995:0.899033:0.408493:0.899033:0.408493:0.883598:0.398995:0.883598:0.000000
.:@0.412101:0.898479:0.427434:0.898479:0.427434:0.884763:0.412101:0.884763:0.000000
x:@0.503456:0.899033:0.510911:0.899033:0.510911:0.883598:0.503456:0.883598:0.000000
0:@0.510852:0.902201:0.516089:0.902201:0.516089:0.893040:0.510852:0.893040:0.000000
1 .:@0.519725:0.898474:0.567086:0.898474:0.567086:0.884758:0.519725:0.884758:0.000000:0.000000:0.000000
h:@0.538647:0.899028:0.548145:0.899028:0.548145:0.883593:0.538647:0.883593:0.000000
x:@0.570676:0.899028:0.578131:0.899028:0.578131:0.883593:0.570676:0.883593:0.000000
0:@0.578067:0.902201:0.583304:0.902201:0.583304:0.893040:0.578067:0.893040:0.000000
h:@0.696776:0.899028:0.706274:0.899028:0.706274:0.883593:0.696776:0.883593:0.000000
.:@0.709882:0.898474:0.725215:0.898474:0.725215:0.884758:0.709882:0.884758:0.000000
recta   se acerca cada vez más a la recta  , lo que implica que la pendiente :@0.364801:0.917307:0.931099:0.917309:0.931099:0.901597:0.364801:0.901594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.406383:0.917307:0.414003:0.917307:0.414003:0.901871:0.406383:0.901871:0.000000
h:@0.414062:0.920482:0.419599:0.920482:0.419599:0.911483:0.414062:0.911483:0.000000
L:@0.673569:0.917309:0.681190:0.917309:0.681190:0.901874:0.673569:0.901874:0.000000
m h:@0.364824:0.935588:0.393668:0.935588:0.393668:0.920152:0.364824:0.920152:0.000000:0.000000:0.000000
( ) se aproxima cada vez más a la pendiente   de  , y esto, a su vez, significa :@0.379366:0.935588:0.931059:0.935588:0.931059:0.919875:0.379366:0.919875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.700315:0.935588:0.714930:0.935588:0.714930:0.920152:0.700315:0.920152:0.000000
L:@0.741105:0.935588:0.748726:0.935588:0.748726:0.920152:0.741105:0.920152:0.000000
Tema 1.  Integración definida e indefinida:@0.073089:0.097630:0.687957:0.097630:0.687957:0.066388:0.073089:0.066388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué relación hay entre derivar e integrar?:@0.293660:0.180188:0.588543:0.180188:0.588543:0.165190:0.293660:0.165190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.140818:0.437491:0.140818:0.437491:0.123871:0.302768:0.123871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Comprende la relación entre la integral definida y el área de la región bajo una curva en el plano cartesiano.:@0.307059:0.971366:0.913825:0.971366:0.913825:0.959939:0.307059:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integración, parte :@0.082576:0.307691:0.217420:0.307691:0.217420:0.293835:0.082576:0.293835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental del cálculo :@0.082576:0.322366:0.241404:0.322366:0.241404:0.308510:0.082576:0.308510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral, fue desarrollada :@0.082576:0.337041:0.242882:0.337041:0.242882:0.323186:0.082576:0.323186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de manera independiente :@0.082576:0.351716:0.253815:0.351716:0.253815:0.337861:0.082576:0.337861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y con enfoques distintos :@0.082576:0.366391:0.242560:0.366391:0.242560:0.352536:0.082576:0.352536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por::@0.082576:0.381066:0.107875:0.381066:0.107875:0.367211:0.082576:0.367211:0.000000:0.000000:0.000000:0.000000
Isaac Newton:@0.082576:0.399312:0.169713:0.399312:0.169713:0.384601:0.082576:0.384601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (1643-1727):@0.169708:0.399312:0.253254:0.399312:0.253254:0.384613:0.169708:0.384613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usó la integración para :@0.082576:0.417558:0.233209:0.417558:0.233209:0.403703:0.082576:0.403703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver problemas físicos :@0.082576:0.432234:0.250313:0.432234:0.250313:0.418378:0.082576:0.418378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y descubrió su conexión :@0.082576:0.446909:0.241820:0.446909:0.241820:0.433053:0.082576:0.433053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la diferenciación, :@0.082576:0.461584:0.221330:0.461584:0.221330:0.447728:0.082576:0.447728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base del :@0.082576:0.476259:0.139566:0.476259:0.139566:0.462403:0.082576:0.462403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema :@0.139436:0.476259:0.201078:0.476259:0.201078:0.461559:0.139436:0.461559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fundamental del Cálculo.:@0.082576:0.490934:0.251858:0.490934:0.251858:0.476234:0.082576:0.476234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gottfried Wilhelm Leibniz :@0.082576:0.509180:0.247118:0.509180:0.247118:0.494468:0.082576:0.494468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1646-1716):@0.082576:0.523855:0.162745:0.523855:0.162745:0.509155:0.082576:0.509155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Creó la notación más :@0.082576:0.542101:0.221141:0.542101:0.221141:0.528245:0.082576:0.528245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formal y útil, como :@0.082576:0.556776:0.205318:0.556776:0.205318:0.542920:0.082576:0.542920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el símbolo ∫ para la :@0.082576:0.571451:0.206847:0.571451:0.206847:0.557595:0.082576:0.557595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integración, derivado de :@0.082576:0.586126:0.242130:0.586126:0.242130:0.572270:0.082576:0.572270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la letra \S\ (suma en latín). :@0.082576:0.600801:0.249942:0.600801:0.249942:0.586946:0.082576:0.586946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Refleja la idea de que la :@0.082576:0.615476:0.235976:0.615476:0.235976:0.601621:0.082576:0.601621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integración calcula sumas :@0.082576:0.630151:0.251488:0.630151:0.251488:0.616296:0.082576:0.616296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinitas.:@0.082576:0.644826:0.134901:0.644826:0.134901:0.630971:0.082576:0.630971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.078581:0.247174:0.201990:0.247174:0.201990:0.231768:0.078581:0.231768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078581:0.262303:0.164074:0.262303:0.164074:0.248019:0.078581:0.248019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e historia:@0.078581:0.277432:0.138577:0.277432:0.138577:0.263148:0.078581:0.263148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.1.:@0.073089:0.940308:0.126744:0.940308:0.126744:0.928881:0.073089:0.928881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.239044:0.895706:0.244586:0.895706:0.244586:0.884480:0.239044:0.884480:0.000000
P:@0.092827:0.921235:0.099199:0.921235:0.099199:0.910009:0.092827:0.910009:0.000000
0:@0.099199:0.922281:0.103008:0.922281:0.103008:0.915619:0.099199:0.915619:0.000000
   ( ,  ( )):@0.103008:0.921235:0.161349:0.921235:0.161349:0.909807:0.103008:0.909807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.105940:0.920831:0.117091:0.920831:0.117091:0.910856:0.105940:0.910856:0.000000
x f x:@0.123571:0.921235:0.150445:0.921235:0.150445:0.910009:0.123571:0.910009:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.128992:0.922281:0.132801:0.922281:0.132801:0.915619:0.128992:0.915619:0.000000
0:@0.150445:0.922281:0.154254:0.922281:0.154254:0.915619:0.150445:0.915619:0.000000
P:@0.208793:0.865318:0.215165:0.865318:0.215165:0.854093:0.208793:0.854093:0.000000
1:@0.215163:0.866369:0.218972:0.866369:0.218972:0.859707:0.215163:0.859707:0.000000
   (     ,  (:@0.218972:0.865322:0.282229:0.865322:0.282229:0.853895:0.218972:0.853895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.221234:0.864919:0.232386:0.864919:0.232386:0.854944:0.221234:0.854944:0.000000
x:@0.238196:0.865322:0.243617:0.865322:0.243617:0.854097:0.238196:0.854097:0.000000
0:@0.243614:0.866369:0.247423:0.866369:0.247423:0.859707:0.243614:0.859707:0.000000
1:@0.249685:0.864919:0.260837:0.864919:0.260837:0.854944:0.249685:0.854944:0.000000
h f x:@0.263099:0.865322:0.287651:0.865322:0.287651:0.854097:0.263099:0.854097:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.287643:0.866369:0.291451:0.866369:0.291451:0.859707:0.287643:0.859707:0.000000
1:@0.291841:0.864919:0.302993:0.864919:0.302993:0.854944:0.291841:0.854944:0.000000
h:@0.302993:0.865322:0.309900:0.865322:0.309900:0.854097:0.302993:0.854097:0.000000
)):@0.309900:0.865322:0.316996:0.865322:0.316996:0.853895:0.309900:0.853895:0.000000:0.000000
R:@0.202094:0.921239:0.208600:0.921239:0.208600:0.910013:0.202094:0.910013:0.000000
   (     ,  ( )):@0.208600:0.921239:0.291282:0.921235:0.291282:0.909807:0.208600:0.909812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.211478:0.920836:0.222630:0.920836:0.222630:0.910861:0.211478:0.910861:0.000000
x:@0.229056:0.921239:0.234477:0.921239:0.234477:0.910013:0.229056:0.910013:0.000000
0:@0.234487:0.922281:0.238296:0.922281:0.238296:0.915619:0.234487:0.915619:0.000000
1:@0.241174:0.920831:0.252326:0.920831:0.252326:0.910856:0.241174:0.910856:0.000000
h f x:@0.255204:0.921235:0.280372:0.921235:0.280372:0.910009:0.255204:0.910009:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.280378:0.922281:0.284187:0.922281:0.284187:0.915619:0.280378:0.915619:0.000000
u:@0.182746:0.890518:0.188185:0.890518:0.188185:0.882414:0.182746:0.882414:0.000000
( ):@0.188185:0.891004:0.200437:0.891004:0.200437:0.881005:0.188185:0.881005:0.000000:0.000000:0.000000
h:@0.191289:0.891004:0.197333:0.891004:0.197333:0.881181:0.191289:0.881181:0.000000
u:@0.163181:0.907940:0.168620:0.907940:0.168620:0.899835:0.163181:0.899835:0.000000
t.ly/6gvBH:@0.105050:0.816030:0.179949:0.816030:0.179949:0.800317:0.105050:0.800317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antiderivada :@0.080204:0.682014:0.184492:0.682014:0.184492:0.665067:0.080204:0.665067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
- integrales :@0.080204:0.693358:0.169891:0.693358:0.169891:0.676411:0.080204:0.676411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indefinidas:@0.080204:0.704702:0.166608:0.704702:0.166608:0.687755:0.080204:0.687755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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