142:@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
En textos y unidades anteriores hemos analizado los comportamientos de las :@0.343467:0.376278:0.931325:0.376278:0.931325:0.359844:0.343467:0.359844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones exponenciales y logarítmicas. Resumamos algunas gráficas y las :@0.343467:0.392920:0.930502:0.392920:0.930502:0.376486:0.343467:0.376486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de las funciones expuestas. :@0.343467:0.409562:0.639606:0.409562:0.639606:0.393128:0.343467:0.393128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que las funciones exponenciales son asintóticas con el eje   e :@0.343467:0.436924:0.930944:0.436924:0.930944:0.420490:0.343467:0.420490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.904244:0.436924:0.911699:0.436924:0.911699:0.420518:0.904244:0.420518:0.000000
interceptan el eje   en el punto (0,1). Aquellas funciones exponenciales con base :@0.343467:0.453566:0.931288:0.453566:0.931288:0.437132:0.343467:0.437132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.473772:0.453566:0.481245:0.453566:0.481245:0.437160:0.473772:0.437160:0.000000
mayor que 1,  ( )  0 cuando x  –∞ y las funciones exponenciales con base :@0.343467:0.471719:0.930976:0.471722:0.930976:0.455288:0.343467:0.455285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.447983:0.471719:0.465249:0.471719:0.465249:0.455313:0.447983:0.455313:0.000000:0.000000:0.000000
menor a 1 y mayor a 0,  ( )  0 cuando    ∞.:@0.343468:0.489875:0.670965:0.489876:0.670965:0.473443:0.343468:0.473441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.511416:0.489875:0.528296:0.489875:0.528296:0.473469:0.511416:0.473469:0.000000:0.000000:0.000000
x:@0.626443:0.489876:0.633898:0.489876:0.633898:0.473470:0.626443:0.473470:0.000000
De igual manera, observemos el comportamiento de las funciones inversas de las :@0.343463:0.517238:0.930710:0.517238:0.930710:0.500804:0.343463:0.500804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones exponenciales, que son las logarítmicas. Se interceptan en el punto :@0.343463:0.533880:0.930977:0.533880:0.930977:0.517446:0.343463:0.517446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1,0) y son asintóticas al eje  . Aquellas funciones logarítmicas con base mayor que :@0.343463:0.550522:0.931051:0.550522:0.931051:0.534088:0.343463:0.534088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.537458:0.550522:0.544931:0.550522:0.544931:0.534116:0.537458:0.534116:0.000000
1,  ( ) –∞ cuando:@0.343463:0.568675:0.478789:0.568678:0.478789:0.552244:0.343463:0.552242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.358981:0.568675:0.375842:0.568675:0.375842:0.552269:0.358981:0.552269:0.000000:0.000000:0.000000
 x:@0.478653:0.568678:0.489016:0.568678:0.489016:0.552272:0.478653:0.552272:0.000000:0.000000
0  y las funciones logarítmicas con base menor a 1 y mayor :@0.504495:0.568678:0.931232:0.568678:0.931232:0.552244:0.504495:0.552244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.514115:0.562614:0.520511:0.562614:0.520511:0.553033:0.514115:0.553033:0.000000
a 0,  ( ) ∞ cuando:@0.343468:0.586831:0.482310:0.586833:0.482310:0.570399:0.343468:0.570398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.371668:0.586831:0.388548:0.586831:0.388548:0.570425:0.371668:0.570425:0.000000:0.000000:0.000000
 x:@0.482189:0.586833:0.492884:0.586833:0.492884:0.570427:0.482189:0.570427:0.000000:0.000000
0 .:@0.508473:0.586833:0.527663:0.586833:0.527663:0.570399:0.508473:0.570399:0.000000:0.000000:0.000000
+:@0.518111:0.580769:0.524507:0.580769:0.524507:0.571188:0.518111:0.571188:0.000000
Recordemos también las propiedades de los exponentes y las de los logaritmos, :@0.343462:0.614195:0.931169:0.614195:0.931169:0.597761:0.343462:0.597761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temas desarrollados en grado noveno.:@0.343462:0.630836:0.620809:0.630836:0.620809:0.614403:0.343462:0.614403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tengamos en cuenta que  =   equivale  , :@0.343462:0.658198:0.657180:0.658201:0.657180:0.641767:0.343462:0.641765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.532265:0.658198:0.541524:0.658198:0.541524:0.641792:0.532265:0.641792:0.000000
b:@0.541467:0.652137:0.546865:0.652137:0.546865:0.642572:0.541467:0.642572:0.000000
 :@0.546822:0.652137:0.549172:0.652137:0.549172:0.642556:0.546822:0.642556:0.000000
c:@0.563966:0.658201:0.571623:0.658201:0.571623:0.641795:0.563966:0.641795:0.000000
a log  c  b:@0.640834:0.658201:0.721975:0.658201:0.721975:0.641795:0.640834:0.641795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.679170:0.657947:0.683832:0.657947:0.683832:0.649687:0.679170:0.649687:0.000000
=  . :@0.697880:0.658201:0.729136:0.658201:0.729136:0.641767:0.697880:0.641767:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.343448:0.685563:0.352707:0.685563:0.352707:0.669157:0.343448:0.669157:0.000000
0 :@0.352659:0.679500:0.360203:0.679500:0.360203:0.669919:0.352659:0.669919:0.000000:0.000000
= 1  = :@0.360152:0.685564:0.419459:0.685564:0.419459:0.669130:0.360152:0.669130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.387837:0.685564:0.397096:0.685564:0.397096:0.669158:0.387837:0.669158:0.000000
1 :@0.397037:0.679500:0.404581:0.679500:0.404581:0.669919:0.397037:0.669919:0.000000:0.000000
a:@0.419367:0.685564:0.428625:0.685564:0.428625:0.669158:0.419367:0.669158:0.000000
a  a = a:@0.343455:0.711137:0.404368:0.711141:0.404368:0.694735:0.343455:0.694731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.352659:0.705077:0.361179:0.705077:0.361179:0.695512:0.352659:0.695512:0.000000
n :@0.373581:0.705077:0.381007:0.705077:0.381007:0.695512:0.373581:0.695512:0.000000:0.000000
m+n:@0.404316:0.705077:0.424684:0.705077:0.424684:0.695512:0.404316:0.695512:0.000000:0.000000:0.000000
( ) = :@0.343467:0.736716:0.393466:0.736716:0.393466:0.720283:0.343467:0.720283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.348271:0.736716:0.357530:0.736716:0.357530:0.720310:0.348271:0.720310:0.000000
m n:@0.357456:0.730652:0.376272:0.730652:0.376272:0.721088:0.357456:0.721088:0.000000:0.000000:0.000000
 :@0.376229:0.730652:0.378579:0.730652:0.378579:0.721072:0.376229:0.721072:0.000000
a:@0.393374:0.736716:0.402633:0.736716:0.402633:0.720310:0.393374:0.720310:0.000000
mn:@0.402571:0.730652:0.416586:0.730652:0.416586:0.721088:0.402571:0.721088:0.000000:0.000000
(:@0.343467:0.817947:0.348345:0.817947:0.348345:0.801514:0.343467:0.801514:0.000000
a.b:@0.348263:0.817947:0.369965:0.817947:0.369965:0.801541:0.348263:0.801541:0.000000:0.000000:0.000000
) = :@0.369910:0.817947:0.397442:0.817947:0.397442:0.801514:0.369910:0.801514:0.000000:0.000000:0.000000:0.000000
n:@0.374711:0.811884:0.380248:0.811884:0.380248:0.802319:0.374711:0.802319:0.000000
 :@0.380205:0.811884:0.382555:0.811884:0.382555:0.802303:0.380205:0.802303:0.000000
a . b:@0.397350:0.817947:0.429695:0.817947:0.429695:0.801541:0.397350:0.801541:0.000000:0.000000:0.000000:0.000000:0.000000
n :@0.406547:0.811884:0.413973:0.811884:0.413973:0.802319:0.406547:0.802319:0.000000:0.000000
n:@0.429643:0.811884:0.435180:0.811884:0.435180:0.802319:0.429643:0.802319:0.000000
 :@0.412563:0.844335:0.416594:0.844335:0.416594:0.827901:0.412563:0.827901:0.000000
log a = :@0.343467:0.869910:0.397516:0.869910:0.397516:0.853504:0.343467:0.853504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.365522:0.873083:0.370920:0.873083:0.370920:0.863518:0.365522:0.863518:0.000000
1:@0.397479:0.869910:0.406461:0.869910:0.406461:0.853476:0.397479:0.853476:0.000000
log  = :@0.343472:0.895483:0.397239:0.895487:0.397239:0.879081:0.343472:0.879077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.365522:0.898659:0.370920:0.898659:0.370920:0.889095:0.365522:0.889095:0.000000
1 0:@0.370880:0.895487:0.406167:0.895487:0.406167:0.879053:0.370880:0.879053:0.000000:0.000000:0.000000
log A = inA:@0.343472:0.921060:0.421095:0.921063:0.421095:0.904657:0.343472:0.904654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.365522:0.924236:0.370920:0.924236:0.370920:0.914671:0.365522:0.914671:0.000000
І:@0.421077:0.921063:0.424961:0.921063:0.424961:0.904629:0.421077:0.904629:0.000000
log A   logA:@0.640215:0.685567:0.736112:0.685564:0.736112:0.669158:0.640215:0.669161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.662264:0.688736:0.672695:0.688736:0.672695:0.679156:0.662264:0.679156:0.000000:0.000000
5:@0.685713:0.685009:0.701046:0.685009:0.701046:0.671294:0.685713:0.671294:0.000000
lne:@0.640210:0.711137:0.661139:0.711137:0.661139:0.694731:0.640210:0.694731:0.000000:0.000000:0.000000
   1:@0.661084:0.711137:0.693223:0.711137:0.693223:0.694703:0.661084:0.694703:0.000000:0.000000:0.000000:0.000000
5:@0.665042:0.710582:0.680375:0.710582:0.680375:0.696867:0.665042:0.696867:0.000000
in:@0.640210:0.736710:0.653427:0.736710:0.653427:0.720304:0.640210:0.720304:0.000000:0.000000
1   0:@0.653371:0.736710:0.694401:0.736710:0.694401:0.720276:0.653371:0.720276:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.666220:0.736155:0.681553:0.736155:0.681553:0.722440:0.666220:0.722440:0.000000
log:@0.640210:0.762283:0.662317:0.762283:0.662317:0.745877:0.640210:0.745877:0.000000:0.000000:0.000000
1 = 0:@0.662262:0.762283:0.698966:0.762283:0.698966:0.745849:0.662262:0.745849:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.640210:0.787856:0.662317:0.787856:0.662317:0.771450:0.640210:0.771450:0.000000:0.000000:0.000000
10 = 1:@0.662262:0.787856:0.707875:0.787856:0.707875:0.771422:0.662262:0.771422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log  B = nlog  B:@0.640210:0.813429:0.748644:0.813445:0.748644:0.797039:0.640210:0.797023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.662264:0.813191:0.666926:0.813191:0.666926:0.804931:0.662264:0.804931:0.000000
n :@0.678909:0.807381:0.686335:0.807381:0.686335:0.797817:0.678909:0.797817:0.000000:0.000000
a:@0.731940:0.813191:0.736602:0.813191:0.736602:0.804931:0.731940:0.804931:0.000000
log   BC = log  B + log C:@0.640207:0.839018:0.807801:0.839022:0.807801:0.822616:0.640207:0.822612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.662264:0.838767:0.666926:0.838767:0.666926:0.830506:0.662264:0.830506:0.000000
(:@0.670132:0.839022:0.675010:0.839022:0.675010:0.822588:0.670132:0.822588:0.000000
):@0.693546:0.839022:0.698424:0.839022:0.698424:0.822588:0.693546:0.822588:0.000000
 :@0.698340:0.832958:0.700272:0.832958:0.700272:0.823393:0.698340:0.823393:0.000000
a:@0.736440:0.838767:0.741102:0.838767:0.741102:0.830506:0.736440:0.830506:0.000000
a:@0.792540:0.842194:0.797938:0.842194:0.797938:0.832630:0.792540:0.832630:0.000000
log:@0.640203:0.871002:0.662311:0.871002:0.662311:0.854596:0.640203:0.854596:0.000000:0.000000:0.000000
a :@0.662264:0.870744:0.668557:0.870744:0.668557:0.862484:0.662264:0.862484:0.000000:0.000000
B:@0.680162:0.864889:0.688998:0.864889:0.688998:0.848483:0.680162:0.848483:0.000000
C:@0.679628:0.878868:0.689532:0.878868:0.689532:0.862462:0.679628:0.862462:0.000000
= log  B   log C:@0.700506:0.870998:0.812410:0.870998:0.812410:0.854592:0.700506:0.854592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.736713:0.870744:0.741375:0.870744:0.741375:0.862484:0.736713:0.862484:0.000000
2:@0.756599:0.870444:0.771932:0.870444:0.771932:0.856728:0.756599:0.856728:0.000000
a:@0.797147:0.874171:0.802545:0.874171:0.802545:0.864606:0.797147:0.864606:0.000000
a:@0.640210:0.896571:0.649469:0.896571:0.649469:0.880165:0.640210:0.880165:0.000000
log:@0.649402:0.890511:0.662290:0.890511:0.662290:0.880946:0.649402:0.880946:0.000000:0.000000:0.000000
a B:@0.662260:0.890865:0.671334:0.889601:0.671334:0.881340:0.662260:0.882604:0.000000:0.000000:0.000000
 :@0.671297:0.898839:0.672965:0.898839:0.672965:0.890578:0.671297:0.890578:0.000000
= B:@0.672938:0.896102:0.692778:0.896102:0.692778:0.881933:0.672938:0.881933:0.000000:0.000000:0.000000
log:@0.640208:0.926580:0.662316:0.926580:0.662316:0.910174:0.640208:0.910174:0.000000:0.000000:0.000000
a:@0.662264:0.928847:0.666926:0.928847:0.666926:0.920587:0.662264:0.920587:0.000000
B = :@0.666892:0.926108:0.689530:0.926108:0.689530:0.911939:0.666892:0.911939:0.000000:0.000000:0.000000:0.000000
log B:@0.695219:0.916689:0.730536:0.916689:0.730536:0.900283:0.695219:0.900283:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.717275:0.919861:0.721739:0.919861:0.721739:0.910296:0.717275:0.910296:0.000000
log a:@0.695010:0.934440:0.730749:0.934446:0.730749:0.918040:0.695010:0.918034:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.717064:0.937618:0.721528:0.937618:0.721528:0.928053:0.717064:0.928053:0.000000
Tema 6. Derivadas de funciones especiales: logarítmicas, :@0.073089:0.098522:0.920215:0.098522:0.920215:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.124998:0.079849:0.124998:0.079849:0.093757:0.073089:0.093757:0.000000
exponenciales y trigonométricas inversas:@0.196920:0.124998:0.811515:0.124998:0.811515:0.093757:0.196920:0.093757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina que tienes una planta que crece de forma exponencial. Cada semana, la :@0.293660:0.194176:0.907343:0.194176:0.907343:0.177742:0.293660:0.177742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura de la planta se duplica. Al mismo tiempo, quieres averiguar cuántas semanas :@0.293660:0.210818:0.906785:0.210818:0.906785:0.194384:0.293660:0.194384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomará para que la planta alcance una altura específica usando la función logarítmica. :@0.293660:0.227460:0.907319:0.227460:0.907319:0.211026:0.293660:0.211026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supón que la planta mide 1 cm de altura en la semana 0.:@0.293660:0.244102:0.704731:0.244102:0.704731:0.227668:0.293660:0.227668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál será la altura de la planta después de 4 semanas?:@0.293660:0.271464:0.691065:0.271464:0.691065:0.255030:0.293660:0.255030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántas semanas tomará para que la planta alcance una altura de 16 cm?:@0.293660:0.298826:0.832168:0.298826:0.832168:0.282392:0.293660:0.282392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.166403:0.437491:0.166403:0.437491:0.149456:0.302768:0.149456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 6.1:@0.073089:0.614530:0.142992:0.614530:0.142992:0.598096:0.073089:0.598096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 6.2:@0.073089:0.843251:0.142992:0.843251:0.142992:0.826817:0.073089:0.826817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.191927:0.444223:0.195288:0.444223:0.195288:0.441336:0.191927:0.441336:0.000000:0.000000
10:@0.191927:0.455741:0.195288:0.455741:0.195288:0.452854:0.191927:0.452854:0.000000:0.000000
9:@0.193607:0.467259:0.195288:0.467259:0.195288:0.464371:0.193607:0.464371:0.000000
8:@0.193607:0.478776:0.195288:0.478776:0.195288:0.475889:0.193607:0.475889:0.000000
7:@0.193607:0.490294:0.195288:0.490294:0.195288:0.487407:0.193607:0.487407:0.000000
6:@0.193607:0.501812:0.195288:0.501812:0.195288:0.498925:0.193607:0.498925:0.000000
5:@0.193607:0.513330:0.195288:0.513330:0.195288:0.510443:0.193607:0.510443:0.000000
4:@0.193607:0.524848:0.195288:0.524848:0.195288:0.521961:0.193607:0.521961:0.000000
3:@0.193607:0.536366:0.195288:0.536366:0.195288:0.533479:0.193607:0.533479:0.000000
2:@0.193607:0.547883:0.195288:0.547883:0.195288:0.544996:0.193607:0.544996:0.000000
1:@0.193607:0.559401:0.195288:0.559401:0.195288:0.556514:0.193607:0.556514:0.000000
0:@0.193607:0.570919:0.195288:0.570919:0.195288:0.568032:0.193607:0.568032:0.000000
-1:@0.192620:0.582437:0.195288:0.582437:0.195288:0.579550:0.192620:0.579550:0.000000:0.000000
-8:@0.075010:0.575704:0.077678:0.575704:0.077678:0.572816:0.075010:0.572816:0.000000:0.000000
-7:@0.091223:0.575704:0.093892:0.575704:0.093892:0.572816:0.091223:0.572816:0.000000:0.000000
-6:@0.106615:0.575704:0.109284:0.575704:0.109284:0.572816:0.106615:0.572816:0.000000:0.000000
-5:@0.122309:0.575704:0.124978:0.575704:0.124978:0.572816:0.122309:0.572816:0.000000:0.000000
-4:@0.138199:0.575704:0.140868:0.575704:0.140868:0.572816:0.138199:0.572816:0.000000:0.000000
-3:@0.153765:0.575704:0.156434:0.575704:0.156434:0.572816:0.153765:0.572816:0.000000:0.000000
-2:@0.169060:0.575704:0.171729:0.575704:0.171729:0.572816:0.169060:0.572816:0.000000:0.000000
-1:@0.184310:0.575704:0.186979:0.575704:0.186979:0.572816:0.184310:0.572816:0.000000:0.000000
0:@0.200743:0.575704:0.202424:0.575704:0.202424:0.572816:0.200743:0.572816:0.000000
1:@0.215924:0.575704:0.217605:0.575704:0.217605:0.572816:0.215924:0.572816:0.000000
2:@0.231894:0.575704:0.233575:0.575704:0.233575:0.572816:0.231894:0.572816:0.000000
3:@0.247060:0.575704:0.248741:0.575704:0.248741:0.572816:0.247060:0.572816:0.000000
4:@0.262134:0.575704:0.263815:0.575704:0.263815:0.572816:0.262134:0.572816:0.000000
5:@0.277924:0.575704:0.279605:0.575704:0.279605:0.572816:0.277924:0.572816:0.000000
6:@0.292922:0.575704:0.294603:0.575704:0.294603:0.572816:0.292922:0.572816:0.000000
7:@0.310986:0.575704:0.312667:0.575704:0.312667:0.572816:0.310986:0.572816:0.000000
g x:@0.066725:0.565787:0.079455:0.565787:0.079455:0.556549:0.066725:0.556549:0.000000:0.000000:0.000000
( ) = 5:@0.072066:0.565787:0.097973:0.565787:0.097973:0.556557:0.072066:0.556557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.097973:0.562981:0.101430:0.562981:0.101430:0.555875:0.097973:0.555875:0.000000
f x:@0.078676:0.586172:0.088950:0.586172:0.088950:0.576934:0.078676:0.576934:0.000000:0.000000:0.000000
( ) = :@0.081561:0.586172:0.102240:0.586172:0.102240:0.576942:0.081561:0.576942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.102240:0.586172:0.106856:0.586172:0.106856:0.576934:0.102240:0.576934:0.000000
x:@0.106856:0.583366:0.110313:0.583366:0.110313:0.576260:0.106856:0.576260:0.000000
h(x) =:@0.102811:0.458224:0.121008:0.458224:0.121008:0.451119:0.102811:0.451119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.127146:0.454775:0.131168:0.454775:0.131168:0.447675:0.127146:0.447675:0.000000
2:@0.127509:0.461603:0.131531:0.461603:0.131531:0.454503:0.127509:0.454503:0.000000
x:@0.138469:0.452838:0.141926:0.452838:0.141926:0.445732:0.138469:0.445732:0.000000
12:@0.109811:0.664538:0.113374:0.664538:0.113374:0.661478:0.109811:0.661478:0.000000:0.000000
10:@0.109811:0.676744:0.113374:0.676744:0.113374:0.673684:0.109811:0.673684:0.000000:0.000000
8:@0.111592:0.688949:0.113374:0.688949:0.113374:0.685890:0.111592:0.685890:0.000000
6:@0.111592:0.701155:0.113374:0.701155:0.113374:0.698095:0.111592:0.698095:0.000000
4:@0.111592:0.713360:0.113374:0.713360:0.113374:0.710301:0.111592:0.710301:0.000000
2:@0.111592:0.725566:0.113374:0.725566:0.113374:0.722506:0.111592:0.722506:0.000000
-2:@0.110546:0.749977:0.113374:0.749977:0.113374:0.746918:0.110546:0.746918:0.000000:0.000000
-4:@0.110546:0.762183:0.113374:0.762183:0.113374:0.759123:0.110546:0.759123:0.000000:0.000000
-6:@0.110546:0.774388:0.113374:0.774388:0.113374:0.771329:0.110546:0.771329:0.000000:0.000000
-8:@0.110546:0.786594:0.113374:0.786594:0.113374:0.783534:0.110546:0.783534:0.000000:0.000000
-10:@0.108764:0.798800:0.113374:0.798800:0.113374:0.795740:0.108764:0.795740:0.000000:0.000000:0.000000
-4:@0.076842:0.741823:0.079670:0.741823:0.079670:0.738763:0.076842:0.738763:0.000000:0.000000
-2:@0.094023:0.741823:0.096851:0.741823:0.096851:0.738763:0.094023:0.738763:0.000000:0.000000
0:@0.110858:0.741823:0.112639:0.741823:0.112639:0.738763:0.110858:0.738763:0.000000
2:@0.127488:0.741823:0.129269:0.741823:0.129269:0.738763:0.127488:0.738763:0.000000
4:@0.144327:0.741823:0.146108:0.741823:0.146108:0.738763:0.144327:0.738763:0.000000
6:@0.160823:0.741823:0.162604:0.741823:0.162604:0.738763:0.160823:0.738763:0.000000
8:@0.177031:0.741823:0.178812:0.741823:0.178812:0.738763:0.177031:0.738763:0.000000
10:@0.192299:0.741823:0.195862:0.741823:0.195862:0.738763:0.192299:0.738763:0.000000:0.000000
12:@0.209190:0.741823:0.212753:0.741823:0.212753:0.738763:0.209190:0.738763:0.000000:0.000000
14:@0.225277:0.741823:0.228840:0.741823:0.228840:0.738763:0.225277:0.738763:0.000000:0.000000
16:@0.242202:0.741823:0.245765:0.741823:0.245765:0.738763:0.242202:0.738763:0.000000:0.000000
18:@0.258273:0.741823:0.261836:0.741823:0.261836:0.738763:0.258273:0.738763:0.000000:0.000000
20:@0.274247:0.741823:0.277810:0.741823:0.277810:0.738763:0.274247:0.738763:0.000000:0.000000
22:@0.290980:0.741823:0.294543:0.741823:0.294543:0.738763:0.290980:0.738763:0.000000:0.000000
24:@0.306875:0.741823:0.310438:0.741823:0.310438:0.738763:0.306875:0.738763:0.000000:0.000000
g x:@0.156287:0.752282:0.169777:0.752282:0.169777:0.742493:0.156287:0.742493:0.000000:0.000000:0.000000
( ) = log (x):@0.161946:0.752282:0.213347:0.752282:0.213347:0.742501:0.161946:0.742501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.198376:0.752282:0.202212:0.752282:0.202212:0.745510:0.198376:0.745510:0.000000
f x:@0.121539:0.769605:0.132426:0.769605:0.132426:0.759816:0.121539:0.759816:0.000000:0.000000:0.000000
( ) = :@0.124596:0.769605:0.146510:0.769605:0.146510:0.759824:0.124596:0.759824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
In(x):@0.146510:0.769605:0.165692:0.769605:0.165692:0.759816:0.146510:0.759816:0.000000:0.000000:0.000000:0.000000:0.000000
h(x) = log (x):@0.124616:0.710748:0.182397:0.710748:0.182397:0.700959:0.124616:0.700959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.165452:0.710279:0.171500:0.710279:0.171500:0.702749:0.165452:0.702749:0.000000:0.000000:0.000000:0.000000
1:@0.167176:0.707972:0.169070:0.707972:0.169070:0.704627:0.167176:0.704627:0.000000
2:@0.167348:0.710586:0.169243:0.710586:0.169243:0.707241:0.167348:0.707241:0.000000
DBA 5 (Ev. 3) Halla la derivada de algunas funciones empleando métodos gráficos y numéricos.:@0.418726:0.971366:0.917545:0.971366:0.917545:0.959414:0.418726:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La planta tomará 4 semanas para alcanzar una altura de 16 cm.:@0.293660:0.321341:0.664985:0.321341:0.664985:0.307895:0.293660:0.307895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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