46:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115354:0.599119:0.272476:0.599119:0.272476:0.580682:0.115354:0.580682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115354:0.618966:0.134095:0.618966:0.134095:0.601830:0.115354:0.601830:0.000000:0.000000:0.000000
Sea  ( ) = 3  + 7  – 4, :@0.148597:0.618966:0.314857:0.618966:0.314857:0.602577:0.148597:0.602577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.178579:0.618966:0.200195:0.618966:0.200195:0.602604:0.178579:0.602604:0.000000:0.000000:0.000000
x:@0.233125:0.618966:0.240588:0.618966:0.240588:0.602604:0.233125:0.602604:0.000000
4:@0.240584:0.612918:0.245826:0.612918:0.245826:0.603363:0.240584:0.603363:0.000000
x:@0.273874:0.618966:0.281337:0.618966:0.281337:0.602604:0.273874:0.602604:0.000000
determinamos:@0.314857:0.618966:0.427376:0.618966:0.427376:0.602341:0.314857:0.602341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cociente incremental  ( ) y la derivada en   = 2.:@0.427376:0.618966:0.802303:0.618966:0.802303:0.602577:0.427376:0.602577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.607781:0.618966:0.634059:0.618966:0.634059:0.602604:0.607781:0.602604:0.000000:0.000000:0.000000
a:@0.761781:0.618966:0.771050:0.618966:0.771050:0.602604:0.761781:0.602604:0.000000
2. :@0.115360:0.886375:0.134100:0.886375:0.134100:0.869239:0.115360:0.869239:0.000000:0.000000:0.000000
Sea :@0.148603:0.886375:0.178585:0.886375:0.178585:0.869986:0.148603:0.869986:0.000000:0.000000:0.000000:0.000000
3:@0.228519:0.885116:0.237511:0.885116:0.237511:0.868727:0.228519:0.868727:0.000000
5:@0.268359:0.885116:0.277352:0.885116:0.277352:0.868727:0.268359:0.868727:0.000000
7,:@0.300497:0.885116:0.313230:0.885116:0.313230:0.868727:0.300497:0.868727:0.000000:0.000000
2:@0.247471:0.877454:0.252682:0.877454:0.252682:0.867956:0.247471:0.867956:0.000000
():@0.189988:0.888248:0.213188:0.888248:0.213188:0.868314:0.189988:0.868314:0.000000:0.000000
=:@0.215850:0.885794:0.225967:0.885794:0.225967:0.870221:0.215850:0.870221:0.000000
+:@0.256207:0.885794:0.266324:0.885794:0.266324:0.870221:0.256207:0.870221:0.000000
+:@0.288769:0.885794:0.298885:0.885794:0.298885:0.870221:0.288769:0.870221:0.000000
fx:@0.181188:0.885116:0.205347:0.885116:0.205347:0.868755:0.181188:0.868755:0.000000:0.000000
x:@0.238361:0.885116:0.245824:0.885116:0.245824:0.868755:0.238361:0.868755:0.000000
x:@0.278201:0.885116:0.285664:0.885116:0.285664:0.868755:0.278201:0.868755:0.000000
encontramos:@0.317621:0.886373:0.419194:0.886373:0.419194:0.869749:0.317621:0.869749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.419194:0.886373:0.423230:0.886373:0.423230:0.869984:0.419194:0.869984:0.000000
.:@0.462387:0.886373:0.465594:0.886373:0.465594:0.870704:0.462387:0.870704:0.000000
derivadade:@0.473388:0.886373:0.557253:0.886373:0.557253:0.870704:0.473388:0.870704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.534955:0.886373:0.538162:0.886373:0.538162:0.870704:0.534955:0.870704:0.000000
.:@0.557050:0.886373:0.560256:0.886373:0.560256:0.870704:0.557050:0.870704:0.000000
.:@0.599562:0.886373:0.602769:0.886373:0.602769:0.870704:0.599562:0.870704:0.000000
(:@0.466942:0.890757:0.347273:0.890757:0.347273:0.868331:0.466942:0.868331:0.000000
):@0.592748:0.890757:0.473078:0.890757:0.473078:0.868331:0.592748:0.868331:0.000000
():@0.438515:0.889505:0.461715:0.889505:0.461715:0.869572:0.438515:0.869572:0.000000:0.000000
():@0.569241:0.889505:0.592441:0.889505:0.592441:0.869572:0.569241:0.869572:0.000000:0.000000
′:@0.433176:0.886894:0.437728:0.886894:0.437728:0.871321:0.433176:0.871321:0.000000
f x:@0.425842:0.886368:0.453879:0.886368:0.453879:0.870975:0.425842:0.870975:0.000000:0.000000:0.000000
fx:@0.560437:0.886368:0.584596:0.886368:0.584596:0.870975:0.560437:0.870975:0.000000:0.000000
 :@0.115354:0.920147:0.119076:0.920147:0.119076:0.903011:0.115354:0.903011:0.000000
3:@0.198536:0.912609:0.207529:0.912609:0.207529:0.896940:0.198536:0.896940:0.000000
5:@0.238375:0.912609:0.247368:0.912609:0.247368:0.896940:0.238375:0.896940:0.000000
7:@0.270518:0.912609:0.279511:0.912609:0.279511:0.896940:0.270518:0.896940:0.000000
23:@0.354700:0.912609:0.380074:0.912609:0.380074:0.896940:0.354700:0.896940:0.000000:0.000000
5:@0.411235:0.912609:0.420228:0.912609:0.420228:0.896940:0.411235:0.896940:0.000000
6:@0.494998:0.912609:0.503991:0.912609:0.503991:0.896940:0.494998:0.896940:0.000000
5:@0.528347:0.912609:0.537340:0.912609:0.537340:0.896940:0.528347:0.896940:0.000000
2:@0.217489:0.904941:0.222701:0.904941:0.222701:0.895860:0.217489:0.895860:0.000000
():@0.160008:0.915735:0.183208:0.915735:0.183208:0.895802:0.160008:0.895802:0.000000:0.000000
():@0.316164:0.915735:0.339364:0.915735:0.339364:0.895802:0.316164:0.895802:0.000000:0.000000
( ):@0.364638:0.915735:0.385957:0.915735:0.385957:0.895802:0.364638:0.895802:0.000000:0.000000:0.000000
():@0.456096:0.915735:0.479296:0.915735:0.479296:0.895802:0.456096:0.895802:0.000000:0.000000
=:@0.185869:0.913281:0.163424:0.913281:0.163424:0.897708:0.185869:0.897708:0.000000
+:@0.226234:0.913281:0.203790:0.913281:0.203790:0.897708:0.226234:0.897708:0.000000
+:@0.258796:0.913281:0.236351:0.913281:0.236351:0.897708:0.258796:0.897708:0.000000
⇒ ′:@0.282411:0.913281:0.315397:0.913129:0.315397:0.897556:0.282411:0.897708:0.000000:0.000000:0.000000
=:@0.342043:0.913281:0.295089:0.913281:0.295089:0.897708:0.342043:0.897708:0.000000
+:@0.399113:0.913281:0.352160:0.913281:0.352160:0.897708:0.399113:0.897708:0.000000
⇒ ′:@0.422351:0.913281:0.455336:0.913129:0.455336:0.897556:0.422351:0.897708:0.000000:0.000000:0.000000
=:@0.481982:0.913281:0.457861:0.913281:0.457861:0.897708:0.481982:0.897708:0.000000
+:@0.516221:0.913281:0.492099:0.913281:0.492099:0.897708:0.516221:0.897708:0.000000
f x:@0.151225:0.912603:0.175387:0.912603:0.175387:0.897210:0.151225:0.897210:0.000000:0.000000:0.000000
x:@0.208391:0.912603:0.215854:0.912603:0.215854:0.897210:0.208391:0.897210:0.000000
x:@0.248230:0.912603:0.255693:0.912603:0.255693:0.897210:0.248230:0.897210:0.000000
f x:@0.303513:0.912603:0.331550:0.912603:0.331550:0.897210:0.303513:0.897210:0.000000:0.000000:0.000000
x:@0.388532:0.912603:0.395995:0.912603:0.395995:0.897210:0.388532:0.897210:0.000000
f x:@0.443448:0.912603:0.471486:0.912603:0.471486:0.897210:0.443448:0.897210:0.000000:0.000000:0.000000
x:@0.505642:0.912603:0.513105:0.912603:0.513105:0.897210:0.505642:0.897210:0.000000
Cociente incremental:@0.115891:0.141978:0.427083:0.141978:0.427083:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.47. Calcular de manera intuitiva la derivada de funciones polinomiales de grado ≤ 4 a partir del cociente incremental.:@0.125388:0.074999:0.696365:0.074999:0.696365:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.048229:0.122645:0.082283:0.122645:0.082283:0.065614:0.048229:0.065614:0.000000:0.000000
Cociente incremental:@0.413053:0.165724:0.582198:0.165724:0.582198:0.148823:0.413053:0.148823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cociente  :@0.122468:0.222981:0.199845:0.222981:0.199845:0.206080:0.122468:0.206080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incremental:@0.122468:0.239329:0.217867:0.239329:0.217867:0.222428:0.122468:0.222428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es igual a la pendiente de la recta secante tomada en dos puntos de una función.  :@0.231264:0.195957:0.876803:0.195957:0.876803:0.179568:0.231264:0.179568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el límite de este cociente tiende a cero se convierte en la pendiente de la tan-:@0.231264:0.212304:0.872671:0.212304:0.872671:0.195915:0.231264:0.195915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gente a la curva en un punto fijo y es la derivada de la función.:@0.231264:0.228652:0.689149:0.228652:0.689149:0.212263:0.231264:0.212263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.231264:0.248567:0.247407:0.248567:0.247407:0.232178:0.231264:0.232178:0.000000:0.000000:0.000000:0.000000
   :@0.231264:0.268483:0.243371:0.268483:0.243371:0.252094:0.231264:0.252094:0.000000:0.000000:0.000000
():@0.257447:0.264767:0.279910:0.264767:0.279910:0.244834:0.257447:0.244834:0.000000:0.000000
(:@0.308491:0.255137:0.314628:0.255137:0.314628:0.235204:0.308491:0.235204:0.000000
):@0.348645:0.255137:0.354781:0.255137:0.354781:0.235204:0.348645:0.235204:0.000000
():@0.380786:0.255140:0.403618:0.255140:0.403618:0.235207:0.380786:0.235207:0.000000:0.000000
=:@0.282575:0.262312:0.292692:0.262312:0.292692:0.246739:0.282575:0.246739:0.000000
+:@0.326599:0.252686:0.336716:0.252686:0.336716:0.237113:0.326599:0.237113:0.000000
–:@0.357281:0.252008:0.366495:0.252008:0.366495:0.235619:0.357281:0.235619:0.000000
Qh:@0.243678:0.261634:0.273770:0.261634:0.273770:0.245273:0.243678:0.245273:0.000000:0.000000
pa h:@0.297810:0.252008:0.348615:0.252008:0.348615:0.235647:0.297810:0.235647:0.000000:0.000000:0.000000:0.000000
p a:@0.370101:0.252008:0.396858:0.252008:0.396858:0.235647:0.370101:0.235647:0.000000:0.000000:0.000000
h:@0.345710:0.272558:0.355219:0.272558:0.355219:0.256196:0.345710:0.256196:0.000000
Reglas de :@0.122474:0.421154:0.202708:0.421154:0.202708:0.404254:0.122474:0.404254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivación :@0.122474:0.437502:0.210319:0.437502:0.210319:0.420601:0.122474:0.420601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.231271:0.299987:0.246290:0.299987:0.246290:0.282851:0.231271:0.282851:0.000000:0.000000
  Derivada de una constante:@0.246290:0.299987:0.472727:0.299987:0.472727:0.283086:0.246290:0.283086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.472727:0.299987:0.476762:0.299987:0.476762:0.283598:0.472727:0.283598:0.000000
La derivada de una constante es cero :@0.259760:0.316334:0.523054:0.316334:0.523054:0.299945:0.259760:0.299945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.531832:0.318555:0.555422:0.318555:0.555422:0.298497:0.531832:0.298497:0.000000:0.000000
():@0.674040:0.318555:0.697629:0.318555:0.697629:0.298497:0.674040:0.298497:0.000000:0.000000
=:@0.558032:0.316715:0.567978:0.316715:0.567978:0.301404:0.558032:0.301404:0.000000
′:@0.668496:0.316837:0.672971:0.316837:0.672971:0.301526:0.668496:0.301526:0.000000
=:@0.700257:0.316715:0.710204:0.316715:0.710204:0.301404:0.700257:0.301404:0.000000
, entonces,:@0.580226:0.316049:0.656611:0.316049:0.656611:0.300642:0.580226:0.300642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.584284:0.316049:0.587437:0.316049:0.587437:0.300642:0.584284:0.300642:0.000000
.:@0.657535:0.316049:0.660688:0.316049:0.660688:0.300642:0.657535:0.300642:0.000000
0;:@0.713429:0.316049:0.725948:0.316049:0.725948:0.300642:0.713429:0.300642:0.000000:0.000000
fx:@0.523597:0.316049:0.547350:0.316049:0.547350:0.300914:0.523597:0.300914:0.000000:0.000000
k:@0.571204:0.316049:0.578650:0.316049:0.578650:0.300914:0.571204:0.300914:0.000000
f x:@0.660867:0.316049:0.689566:0.316049:0.689566:0.300914:0.660867:0.300914:0.000000:0.000000:0.000000
 siendo   constante. :@0.726514:0.316336:0.868849:0.316336:0.868849:0.299947:0.726514:0.299947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.781004:0.316336:0.788578:0.316336:0.788578:0.299974:0.781004:0.299974:0.000000
E:@0.259760:0.336251:0.268827:0.336251:0.268827:0.319627:0.259760:0.319627:0.000000
jemplo: :@0.268827:0.336251:0.327924:0.336251:0.327924:0.319862:0.268827:0.319862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.339342:0.340634:0.362543:0.340634:0.362543:0.320701:0.339342:0.320701:0.000000:0.000000
():@0.422368:0.340634:0.445569:0.340634:0.445569:0.320701:0.422368:0.320701:0.000000:0.000000
= → ′:@0.365203:0.338179:0.421592:0.338027:0.421592:0.322454:0.365203:0.322606:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.448238:0.338179:0.458355:0.338179:0.458355:0.322606:0.448238:0.322606:0.000000
2:@0.377873:0.337501:0.386866:0.337501:0.386866:0.321831:0.377873:0.321831:0.000000
0:@0.460908:0.337501:0.469901:0.337501:0.469901:0.321831:0.460908:0.321831:0.000000
fx:@0.330547:0.337501:0.354706:0.337501:0.354706:0.322108:0.330547:0.322108:0.000000:0.000000
f x:@0.409698:0.337501:0.437735:0.337501:0.437735:0.322108:0.409698:0.322108:0.000000:0.000000:0.000000
2.:@0.231276:0.359718:0.246295:0.359718:0.246295:0.342582:0.231276:0.342582:0.000000:0.000000
  Derivada de una potencia entera positiva:@0.246295:0.359718:0.586371:0.359718:0.586371:0.342817:0.246295:0.342817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.231276:0.379633:0.235183:0.379633:0.235183:0.363009:0.231276:0.363009:0.000000
La derivada de :@0.259765:0.379633:0.370921:0.379633:0.370921:0.363244:0.259765:0.363244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.520010:0.381248:0.525131:0.381248:0.525131:0.363937:0.520010:0.363937:0.000000
−:@0.546256:0.371990:0.553426:0.371990:0.553426:0.360954:0.546256:0.360954:0.000000
;:@0.428021:0.380879:0.431942:0.380879:0.431942:0.360839:0.428021:0.360839:0.000000
'(x)=:@0.459703:0.380879:0.503349:0.380879:0.503349:0.360839:0.459703:0.360839:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.382379:0.380494:0.406694:0.380494:0.406694:0.362276:0.382379:0.362276:0.000000:0.000000
1:@0.552850:0.371510:0.559223:0.371510:0.559223:0.359895:0.552850:0.359895:0.000000
f:@0.449146:0.380879:0.454892:0.380879:0.454892:0.360873:0.449146:0.360873:0.000000
fx x:@0.374186:0.380494:0.416404:0.380494:0.416404:0.362307:0.374186:0.362307:0.000000:0.000000:0.000000:0.000000
n x:@0.507724:0.380494:0.537201:0.380494:0.537201:0.362307:0.507724:0.362307:0.000000:0.000000:0.000000
n:@0.418611:0.371510:0.425350:0.371510:0.425350:0.359915:0.418611:0.359915:0.000000
n:@0.539406:0.371510:0.546144:0.371510:0.546144:0.359915:0.539406:0.359915:0.000000
.:@0.559834:0.379626:0.563041:0.379626:0.563041:0.363237:0.559834:0.363237:0.000000
 :@0.231269:0.399541:0.235176:0.399541:0.235176:0.382917:0.231269:0.382917:0.000000
Ejemplo: :@0.259758:0.399541:0.327443:0.399541:0.327443:0.383152:0.259758:0.383152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.338863:0.403924:0.362064:0.403924:0.362064:0.383991:0.338863:0.383991:0.000000:0.000000
():@0.430423:0.403924:0.453623:0.403924:0.453623:0.383991:0.430423:0.383991:0.000000:0.000000
=:@0.364724:0.401470:0.374841:0.401470:0.374841:0.385897:0.364724:0.385897:0.000000
→ ′:@0.397028:0.401470:0.429645:0.401318:0.429645:0.385745:0.397028:0.385897:0.000000:0.000000:0.000000
=:@0.456291:0.401470:0.466408:0.401470:0.466408:0.385897:0.456291:0.385897:0.000000
3:@0.468951:0.400792:0.477943:0.400792:0.477943:0.385123:0.468951:0.385123:0.000000
3:@0.387968:0.393130:0.393180:0.393130:0.393180:0.384049:0.387968:0.384049:0.000000
2:@0.487908:0.393130:0.493120:0.393130:0.493120:0.384049:0.487908:0.384049:0.000000
fx:@0.330068:0.400792:0.354227:0.400792:0.354227:0.385399:0.330068:0.385399:0.000000:0.000000
x:@0.378855:0.400792:0.386319:0.400792:0.386319:0.385399:0.378855:0.385399:0.000000
f x:@0.417753:0.400792:0.445790:0.400792:0.445790:0.385399:0.417753:0.385399:0.000000:0.000000:0.000000
x:@0.478794:0.400792:0.486257:0.400792:0.486257:0.385399:0.478794:0.385399:0.000000
3. :@0.231276:0.423008:0.250017:0.423008:0.250017:0.405872:0.231276:0.405872:0.000000:0.000000:0.000000
  Derivada de una constante por una función:@0.250017:0.423008:0.603125:0.423008:0.603125:0.406107:0.250017:0.406107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.231276:0.442923:0.235183:0.442923:0.235183:0.426299:0.231276:0.426299:0.000000
La derivada es la constante por la derivada de la función :@0.259765:0.442923:0.674179:0.442923:0.674179:0.426534:0.259765:0.426534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.270761:0.461623:0.294754:0.461623:0.294754:0.441222:0.270761:0.441222:0.000000:0.000000
():@0.425461:0.461623:0.449454:0.461623:0.449454:0.441222:0.425461:0.441222:0.000000:0.000000
=:@0.297408:0.459751:0.307525:0.459751:0.307525:0.444178:0.297408:0.444178:0.000000
′:@0.419804:0.459869:0.424356:0.459869:0.424356:0.444296:0.419804:0.444296:0.000000
=:@0.452104:0.459751:0.462221:0.459751:0.462221:0.444178:0.452104:0.444178:0.000000
(:@0.490898:0.452524:0.475658:0.452524:0.475658:0.440791:0.490898:0.440791:0.000000
):@0.509694:0.452524:0.494454:0.452524:0.494454:0.440791:0.509694:0.440791:0.000000
, entonces:@0.334943:0.459073:0.409078:0.459073:0.409078:0.443404:0.334943:0.443404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.339071:0.459073:0.342277:0.459073:0.342277:0.443404:0.339071:0.443404:0.000000
.:@0.408654:0.459073:0.411860:0.459073:0.411860:0.443404:0.408654:0.443404:0.000000
–1:@0.500740:0.451098:0.510982:0.451098:0.510982:0.442017:0.500740:0.442017:0.000000:0.000000
f x:@0.262385:0.459073:0.286548:0.459073:0.286548:0.443680:0.262385:0.443680:0.000000:0.000000:0.000000
kx:@0.310809:0.459073:0.325552:0.459073:0.325552:0.443680:0.310809:0.443680:0.000000:0.000000
f x:@0.412058:0.459073:0.441248:0.459073:0.441248:0.443680:0.412058:0.443680:0.000000:0.000000:0.000000
knx:@0.465509:0.459073:0.489465:0.459073:0.489465:0.443680:0.465509:0.443680:0.000000:0.000000:0.000000
n:@0.327405:0.451412:0.332915:0.451412:0.332915:0.442491:0.327405:0.442491:0.000000
n:@0.495034:0.451098:0.500545:0.451098:0.500545:0.442177:0.495034:0.442177:0.000000
: :@0.514246:0.459262:0.521488:0.459262:0.521488:0.442873:0.514246:0.442873:0.000000:0.000000
E:@0.259760:0.479178:0.268827:0.479178:0.268827:0.462553:0.259760:0.462553:0.000000
jemplo: :@0.268827:0.479178:0.327924:0.479178:0.327924:0.462789:0.268827:0.462789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.339342:0.482303:0.362543:0.482303:0.362543:0.462370:0.339342:0.462370:0.000000:0.000000
():@0.439697:0.482303:0.462898:0.482303:0.462898:0.462370:0.439697:0.462370:0.000000:0.000000
=:@0.365203:0.479848:0.375320:0.479848:0.375320:0.464275:0.365203:0.464275:0.000000
→ ′:@0.406297:0.479848:0.438914:0.479696:0.438914:0.464123:0.406297:0.464275:0.000000:0.000000:0.000000
=:@0.465560:0.479848:0.475677:0.479848:0.475677:0.464275:0.465560:0.464275:0.000000
2:@0.377873:0.479170:0.386866:0.479170:0.386866:0.463500:0.377873:0.463500:0.000000
6:@0.478598:0.479170:0.487591:0.479170:0.487591:0.463500:0.478598:0.463500:0.000000
3:@0.397242:0.471509:0.402454:0.471509:0.402454:0.462428:0.397242:0.462428:0.000000
2:@0.498336:0.471509:0.503547:0.471509:0.503547:0.462428:0.498336:0.462428:0.000000
fx:@0.330547:0.479170:0.354706:0.479170:0.354706:0.463777:0.330547:0.463777:0.000000:0.000000
x:@0.388128:0.479170:0.395591:0.479170:0.395591:0.463777:0.388128:0.463777:0.000000
f x:@0.427025:0.479170:0.455063:0.479170:0.455063:0.463777:0.427025:0.463777:0.000000:0.000000:0.000000
x:@0.489219:0.479170:0.496682:0.479170:0.496682:0.463777:0.489219:0.463777:0.000000
4. :@0.231276:0.502644:0.250017:0.502644:0.250017:0.485508:0.231276:0.485508:0.000000:0.000000:0.000000
  La derivada de una suma:@0.250017:0.502644:0.457402:0.502644:0.457402:0.485743:0.250017:0.485743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.231276:0.522559:0.235183:0.522559:0.235183:0.505935:0.231276:0.505935:0.000000
Es la suma de las derivadas de cada uno de los términos por separado :@0.259765:0.522559:0.774479:0.522559:0.774479:0.506171:0.259765:0.506171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.270761:0.542219:0.294754:0.542219:0.294754:0.521819:0.270761:0.521819:0.000000:0.000000
():@0.321441:0.542219:0.345434:0.542219:0.345434:0.521819:0.321441:0.521819:0.000000:0.000000
():@0.370707:0.542219:0.394700:0.542219:0.394700:0.521819:0.370707:0.521819:0.000000:0.000000
():@0.481384:0.542219:0.505377:0.542219:0.505377:0.521819:0.481384:0.521819:0.000000:0.000000
():@0.537091:0.542219:0.561083:0.542219:0.561083:0.521819:0.537091:0.521819:0.000000:0.000000
():@0.591384:0.542219:0.615377:0.542219:0.615377:0.521819:0.591384:0.521819:0.000000:0.000000
=:@0.297408:0.540348:0.257365:0.540348:0.257365:0.524775:0.297408:0.524775:0.000000
+:@0.347568:0.540348:0.307525:0.540348:0.307525:0.524775:0.347568:0.524775:0.000000
′:@0.475714:0.540472:0.480265:0.540472:0.480265:0.524899:0.475714:0.524899:0.000000
= ′:@0.508017:0.540348:0.535972:0.540472:0.535972:0.524899:0.508017:0.524775:0.000000:0.000000:0.000000
+ ′:@0.563190:0.540348:0.590260:0.540472:0.590260:0.524899:0.563190:0.524775:0.000000:0.000000:0.000000
.:@0.395001:0.539670:0.398207:0.539670:0.398207:0.524000:0.395001:0.524000:0.000000
entonces:@0.398410:0.539670:0.465007:0.539670:0.465007:0.524000:0.398410:0.524000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.464583:0.539670:0.467790:0.539670:0.467790:0.524000:0.464583:0.524000:0.000000
f x:@0.262395:0.539670:0.286558:0.539670:0.286558:0.524277:0.262395:0.524277:0.000000:0.000000:0.000000
g x:@0.311553:0.539670:0.337234:0.539670:0.337234:0.524277:0.311553:0.524277:0.000000:0.000000:0.000000
h x:@0.360821:0.539670:0.386502:0.539670:0.386502:0.524277:0.360821:0.524277:0.000000:0.000000:0.000000
f x:@0.467983:0.539670:0.497173:0.539670:0.497173:0.524277:0.467983:0.524277:0.000000:0.000000:0.000000
g x:@0.522168:0.539670:0.552876:0.539670:0.552876:0.524277:0.522168:0.524277:0.000000:0.000000:0.000000
h x:@0.576463:0.539670:0.607171:0.539670:0.607171:0.524277:0.576463:0.524277:0.000000:0.000000:0.000000
. :@0.616667:0.538897:0.623909:0.538897:0.623909:0.522508:0.616667:0.522508:0.000000:0.000000
E:@0.259760:0.558812:0.268827:0.558812:0.268827:0.542188:0.259760:0.542188:0.000000
jemplo: :@0.268827:0.558812:0.327924:0.558812:0.327924:0.542424:0.268827:0.542424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.339342:0.562481:0.362543:0.562481:0.362543:0.542548:0.339342:0.542548:0.000000:0.000000
():@0.472261:0.562481:0.495461:0.562481:0.495461:0.542548:0.472261:0.542548:0.000000:0.000000
=:@0.365203:0.560027:0.334742:0.560027:0.334742:0.544454:0.365203:0.544454:0.000000
+:@0.405781:0.560027:0.375320:0.560027:0.375320:0.544454:0.405781:0.544454:0.000000
→ ′:@0.438858:0.560027:0.471475:0.559875:0.471475:0.544302:0.438858:0.544454:0.000000:0.000000:0.000000
=:@0.498125:0.560027:0.466724:0.560027:0.466724:0.544454:0.498125:0.544454:0.000000
+:@0.539642:0.560027:0.508242:0.560027:0.508242:0.544454:0.539642:0.544454:0.000000
2:@0.377866:0.559349:0.386859:0.559349:0.386859:0.543680:0.377866:0.543680:0.000000
5:@0.417909:0.559349:0.426902:0.559349:0.426902:0.543680:0.417909:0.543680:0.000000
6:@0.511148:0.559349:0.520140:0.559349:0.520140:0.543680:0.511148:0.543680:0.000000
5:@0.551772:0.559349:0.560764:0.559349:0.560764:0.543680:0.551772:0.543680:0.000000
3:@0.397242:0.551687:0.402454:0.551687:0.402454:0.542606:0.397242:0.542606:0.000000
2:@0.530898:0.551687:0.536110:0.551687:0.536110:0.542606:0.530898:0.542606:0.000000
fx:@0.330547:0.559349:0.354706:0.559349:0.354706:0.543956:0.330547:0.543956:0.000000:0.000000
x:@0.388128:0.559349:0.395591:0.559349:0.395591:0.543956:0.388128:0.543956:0.000000
x:@0.427759:0.559349:0.435222:0.559349:0.435222:0.543956:0.427759:0.543956:0.000000
f x:@0.459589:0.559349:0.487626:0.559349:0.487626:0.543956:0.459589:0.543956:0.000000:0.000000:0.000000
x:@0.521782:0.559349:0.529245:0.559349:0.529245:0.543956:0.521782:0.543956:0.000000
Para conocer más :@0.746762:0.668927:0.868217:0.668927:0.868217:0.654028:0.746762:0.654028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre derivadas, :@0.746762:0.684014:0.858064:0.684014:0.858064:0.669115:0.746762:0.669115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita:@0.746762:0.699102:0.782914:0.699102:0.782914:0.683989:0.746762:0.683989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente :@0.782914:0.699102:0.866641:0.699102:0.866641:0.684203:0.782914:0.684203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
página::@0.746762:0.714190:0.795596:0.714190:0.795596:0.699291:0.746762:0.699291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.686375:0.649494:0.706344:0.649494:0.706344:0.627768:0.686375:0.627768:0.000000:0.000000:0.000000
www.mayedu.ec/ctm12/p46:@0.662223:0.753893:0.852512:0.753893:0.852512:0.738767:0.662223:0.738767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.750894:0.119076:0.750894:0.119076:0.733758:0.115354:0.733758:0.000000
–:@0.257246:0.649048:0.265860:0.649048:0.265860:0.632659:0.257246:0.632659:0.000000
3:@0.317646:0.647471:0.326053:0.647471:0.326053:0.631082:0.317646:0.631082:0.000000
7:@0.389985:0.647471:0.398392:0.647471:0.398392:0.631082:0.389985:0.631082:0.000000
–4 –3:@0.445234:0.647471:0.493575:0.647471:0.493575:0.631082:0.445234:0.631082:0.000000:0.000000:0.000000:0.000000:0.000000
7– 4:@0.522466:0.647471:0.562727:0.647471:0.562727:0.631082:0.522466:0.631082:0.000000:0.000000:0.000000:0.000000
3:@0.200618:0.688727:0.209025:0.688727:0.209025:0.672338:0.200618:0.672338:0.000000
12:@0.237227:0.688727:0.253852:0.688727:0.253852:0.672338:0.237227:0.672338:0.000000:0.000000
18:@0.288996:0.688727:0.305638:0.688727:0.305638:0.672338:0.288996:0.672338:0.000000:0.000000
12:@0.348139:0.688727:0.364764:0.688727:0.364764:0.672338:0.348139:0.672338:0.000000:0.000000
3:@0.401734:0.688727:0.410141:0.688727:0.410141:0.672338:0.401734:0.672338:0.000000
7:@0.438670:0.688727:0.447077:0.688727:0.447077:0.672338:0.438670:0.672338:0.000000
7 –4 –3:@0.469111:0.688727:0.531286:0.688727:0.531286:0.672338:0.469111:0.672338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–7:@0.549944:0.688727:0.568928:0.688727:0.568928:0.672338:0.549944:0.672338:0.000000:0.000000
4:@0.592031:0.688727:0.600438:0.688727:0.600438:0.672338:0.592031:0.672338:0.000000
12:@0.215520:0.728019:0.232145:0.728019:0.232145:0.711630:0.215520:0.711630:0.000000:0.000000
18:@0.259761:0.728019:0.276386:0.728019:0.276386:0.711630:0.259761:0.711630:0.000000:0.000000
12:@0.312081:0.728019:0.328706:0.728019:0.328706:0.711630:0.312081:0.711630:0.000000:0.000000
3:@0.365866:0.728019:0.374273:0.728019:0.374273:0.711630:0.365866:0.711630:0.000000
7:@0.401837:0.728019:0.410244:0.728019:0.410244:0.711630:0.401837:0.711630:0.000000
12:@0.431107:0.739221:0.447732:0.739221:0.447732:0.722832:0.431107:0.722832:0.000000:0.000000
18:@0.475348:0.739221:0.491973:0.739221:0.491973:0.722832:0.475348:0.722832:0.000000:0.000000
12:@0.527668:0.739221:0.544293:0.739221:0.544293:0.722832:0.527668:0.722832:0.000000:0.000000
3:@0.581453:0.739221:0.589860:0.739221:0.589860:0.722832:0.581453:0.722832:0.000000
7:@0.617424:0.739221:0.625832:0.739221:0.625832:0.722832:0.617424:0.722832:0.000000
4:@0.370450:0.637929:0.375322:0.637929:0.375322:0.628431:0.370450:0.628431:0.000000
4:@0.502941:0.639813:0.507813:0.639813:0.507813:0.630315:0.502941:0.630315:0.000000
4:@0.218390:0.681067:0.223262:0.681067:0.223262:0.671569:0.218390:0.671569:0.000000
3:@0.263219:0.681067:0.268091:0.681067:0.268091:0.671569:0.263219:0.671569:0.000000
22:@0.315347:0.681067:0.334557:0.681067:0.334557:0.671569:0.315347:0.671569:0.000000:0.000000
3:@0.382401:0.681067:0.387273:0.681067:0.387273:0.671569:0.382401:0.671569:0.000000
4:@0.419153:0.681067:0.424025:0.681067:0.424025:0.671569:0.419153:0.671569:0.000000
4:@0.540682:0.681067:0.545554:0.681067:0.545554:0.671569:0.540682:0.671569:0.000000
3:@0.241543:0.720358:0.246416:0.720358:0.246416:0.710860:0.241543:0.710860:0.000000
2:@0.286133:0.720358:0.291005:0.720358:0.291005:0.710860:0.286133:0.710860:0.000000
2:@0.346378:0.720358:0.351250:0.720358:0.351250:0.710860:0.346378:0.710860:0.000000
3:@0.382940:0.720358:0.387813:0.720358:0.387813:0.710860:0.382940:0.710860:0.000000
3:@0.457133:0.731556:0.462006:0.731556:0.462006:0.722058:0.457133:0.722058:0.000000
2:@0.501723:0.731556:0.506595:0.731556:0.506595:0.722058:0.501723:0.722058:0.000000
2:@0.561968:0.731556:0.566840:0.731556:0.566840:0.722058:0.561968:0.722058:0.000000
3:@0.598530:0.731556:0.603403:0.731556:0.603403:0.722058:0.598530:0.722058:0.000000
(:@0.479150:0.652871:0.484886:0.652871:0.484886:0.628265:0.479150:0.628265:0.000000
):@0.563582:0.652871:0.569319:0.652871:0.569319:0.628265:0.563582:0.628265:0.000000
(:@0.210605:0.733417:0.216342:0.733417:0.216342:0.708811:0.210605:0.708811:0.000000
):@0.410773:0.733417:0.416510:0.733417:0.416510:0.708811:0.410773:0.708811:0.000000
():@0.163915:0.661807:0.184915:0.661807:0.184915:0.641873:0.163915:0.641873:0.000000:0.000000
(:@0.211635:0.652176:0.217372:0.652176:0.217372:0.632243:0.211635:0.632243:0.000000
):@0.249174:0.652176:0.254911:0.652176:0.254911:0.632243:0.249174:0.632243:0.000000
():@0.279219:0.652176:0.300564:0.652176:0.300564:0.632243:0.279219:0.632243:0.000000:0.000000
(:@0.326544:0.650601:0.332281:0.650601:0.332281:0.630667:0.326544:0.630667:0.000000
):@0.364083:0.650601:0.369820:0.650601:0.369820:0.630667:0.364083:0.630667:0.000000
(:@0.399606:0.650601:0.405343:0.650601:0.405343:0.630667:0.399606:0.630667:0.000000
):@0.437145:0.650601:0.442882:0.650601:0.442882:0.630667:0.437145:0.630667:0.000000
():@0.163897:0.700381:0.184898:0.700381:0.184898:0.680448:0.163897:0.680448:0.000000:0.000000
():@0.163897:0.742337:0.184898:0.742337:0.184898:0.722403:0.163897:0.722403:0.000000:0.000000
=:@0.187407:0.659351:0.196865:0.659351:0.196865:0.643778:0.187407:0.643778:0.000000
+:@0.228564:0.649725:0.238021:0.649725:0.238021:0.634152:0.228564:0.634152:0.000000
=:@0.304417:0.659351:0.313875:0.659351:0.313875:0.643778:0.304417:0.643778:0.000000
+:@0.343472:0.648149:0.352930:0.648149:0.352930:0.632576:0.343472:0.632576:0.000000
+:@0.379013:0.648149:0.388471:0.648149:0.388471:0.632576:0.379013:0.632576:0.000000
+:@0.416534:0.648149:0.425993:0.648149:0.425993:0.632576:0.416534:0.632576:0.000000
+:@0.511476:0.648149:0.520934:0.648149:0.520934:0.632576:0.511476:0.632576:0.000000
=:@0.187389:0.697924:0.196847:0.697924:0.196847:0.682351:0.187389:0.682351:0.000000
+:@0.226927:0.689405:0.236385:0.689405:0.236385:0.673832:0.226927:0.673832:0.000000
+:@0.278713:0.689405:0.288171:0.689405:0.288171:0.673832:0.278713:0.673832:0.000000
+:@0.337821:0.689405:0.347279:0.689405:0.347279:0.673832:0.337821:0.673832:0.000000
+:@0.390331:0.689405:0.399789:0.689405:0.399789:0.673832:0.390331:0.673832:0.000000
+:@0.427681:0.689405:0.437139:0.689405:0.437139:0.673832:0.427681:0.673832:0.000000
+:@0.458122:0.689405:0.467580:0.689405:0.467580:0.673832:0.458122:0.673832:0.000000
+:@0.579991:0.689405:0.589449:0.689405:0.589449:0.673832:0.579991:0.673832:0.000000
=:@0.187372:0.739899:0.196830:0.739899:0.196830:0.724326:0.187372:0.724326:0.000000
+:@0.249478:0.728696:0.258936:0.728696:0.258936:0.713124:0.249478:0.713124:0.000000
+:@0.301798:0.728696:0.311256:0.728696:0.311256:0.713124:0.301798:0.713124:0.000000
+:@0.354515:0.728696:0.363973:0.728696:0.363973:0.713124:0.354515:0.713124:0.000000
+:@0.390883:0.728696:0.400340:0.728696:0.400340:0.713124:0.390883:0.713124:0.000000
=:@0.420342:0.739899:0.429800:0.739899:0.429800:0.724326:0.420342:0.724326:0.000000
+:@0.465082:0.739899:0.474540:0.739899:0.474540:0.724326:0.465082:0.724326:0.000000
+:@0.517402:0.739899:0.526860:0.739899:0.526860:0.724326:0.517402:0.724326:0.000000
+:@0.570119:0.739899:0.579577:0.739899:0.579577:0.724326:0.570119:0.724326:0.000000
+:@0.606469:0.739899:0.615928:0.739899:0.615928:0.724326:0.606469:0.724326:0.000000
Qh:@0.151022:0.658674:0.179154:0.658674:0.179154:0.642312:0.151022:0.642312:0.000000:0.000000
pa h:@0.201619:0.649048:0.249116:0.649048:0.249116:0.632686:0.201619:0.632686:0.000000:0.000000:0.000000:0.000000
p a:@0.269203:0.649048:0.294218:0.649048:0.294218:0.632686:0.269203:0.632686:0.000000:0.000000:0.000000
h:@0.246394:0.669600:0.255284:0.669600:0.255284:0.653238:0.246394:0.653238:0.000000
ah:@0.332877:0.647485:0.364042:0.647485:0.364042:0.631124:0.332877:0.631124:0.000000:0.000000
ah:@0.405939:0.647485:0.437104:0.647485:0.437104:0.631124:0.405939:0.631124:0.000000:0.000000
a:@0.493301:0.647485:0.501966:0.647485:0.501966:0.631124:0.493301:0.631124:0.000000
a:@0.531322:0.647485:0.539988:0.647485:0.539988:0.631124:0.531322:0.631124:0.000000
h:@0.439275:0.669600:0.448164:0.669600:0.448164:0.653238:0.439275:0.653238:0.000000
Qh:@0.151004:0.697260:0.179137:0.697260:0.179137:0.680899:0.151004:0.680899:0.000000:0.000000
a:@0.208752:0.688741:0.217417:0.688741:0.217417:0.672379:0.208752:0.672379:0.000000
a h:@0.253974:0.688741:0.277352:0.688741:0.277352:0.672379:0.253974:0.672379:0.000000:0.000000:0.000000
a h:@0.306105:0.688741:0.329673:0.688741:0.329673:0.672379:0.306105:0.672379:0.000000:0.000000:0.000000
ah:@0.364886:0.688741:0.382389:0.688741:0.382389:0.672379:0.364886:0.672379:0.000000:0.000000
h:@0.409867:0.688741:0.418757:0.688741:0.418757:0.672379:0.409867:0.672379:0.000000
a:@0.447544:0.688741:0.456210:0.688741:0.456210:0.672379:0.447544:0.672379:0.000000
h:@0.477986:0.688741:0.486875:0.688741:0.486875:0.672379:0.477986:0.672379:0.000000
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a:@0.569413:0.688741:0.578078:0.688741:0.578078:0.672379:0.569413:0.672379:0.000000
h:@0.396654:0.708186:0.405543:0.708186:0.405543:0.691825:0.396654:0.691825:0.000000
Qh:@0.151004:0.739221:0.179137:0.739221:0.179137:0.722860:0.151004:0.722860:0.000000:0.000000
h:@0.200930:0.728019:0.209820:0.728019:0.209820:0.711658:0.200930:0.711658:0.000000
a:@0.232302:0.728019:0.240967:0.728019:0.240967:0.711658:0.232302:0.711658:0.000000
ah:@0.276887:0.728019:0.300454:0.728019:0.300454:0.711658:0.276887:0.711658:0.000000:0.000000
ah:@0.328863:0.728019:0.346366:0.728019:0.346366:0.711658:0.328863:0.711658:0.000000:0.000000
h:@0.374034:0.728019:0.382923:0.728019:0.382923:0.711658:0.374034:0.711658:0.000000
h:@0.304382:0.750133:0.313272:0.750133:0.313272:0.733772:0.304382:0.733772:0.000000
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ah:@0.544450:0.739207:0.561953:0.739207:0.561953:0.722846:0.544450:0.722846:0.000000:0.000000
h:@0.589621:0.739207:0.598510:0.739207:0.598510:0.722846:0.589621:0.722846:0.000000
 :@0.115354:0.774618:0.119076:0.774618:0.119076:0.757482:0.115354:0.757482:0.000000
Para   = 2::@0.148597:0.774618:0.224022:0.774618:0.224022:0.758229:0.148597:0.758229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.183499:0.774618:0.192768:0.774618:0.192768:0.758257:0.183499:0.758257:0.000000
 :@0.115354:0.860311:0.119390:0.860311:0.119390:0.843922:0.115354:0.843922:0.000000
–:@0.264814:0.800849:0.274028:0.800849:0.274028:0.785179:0.264814:0.785179:0.000000
12 2:@0.326805:0.810475:0.360973:0.810475:0.360973:0.794805:0.326805:0.794805:0.000000:0.000000:0.000000:0.000000
18 2:@0.387056:0.810475:0.421591:0.810475:0.421591:0.794805:0.387056:0.794805:0.000000:0.000000:0.000000:0.000000
12 2:@0.458564:0.810475:0.492733:0.810475:0.492733:0.794805:0.458564:0.794805:0.000000:0.000000:0.000000:0.000000
3:@0.530856:0.810475:0.539849:0.810475:0.539849:0.794805:0.530856:0.794805:0.000000
7:@0.569335:0.810475:0.578327:0.810475:0.578327:0.794805:0.569335:0.794805:0.000000
lim 12 2:@0.150545:0.847208:0.213873:0.847208:0.213873:0.831539:0.150545:0.831539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 2:@0.239955:0.847208:0.274493:0.847208:0.274493:0.831539:0.239955:0.831539:0.000000:0.000000:0.000000:0.000000
12 2:@0.311464:0.847208:0.345632:0.847208:0.345632:0.831539:0.311464:0.831539:0.000000:0.000000:0.000000:0.000000
3:@0.383756:0.847208:0.392748:0.847208:0.392748:0.831539:0.383756:0.831539:0.000000
7:@0.422234:0.847208:0.431227:0.847208:0.431227:0.831539:0.422234:0.831539:0.000000
103:@0.452074:0.847208:0.478647:0.847208:0.478647:0.831539:0.452074:0.831539:0.000000:0.000000:0.000000
2:@0.531481:0.847208:0.540473:0.847208:0.540473:0.831539:0.531481:0.831539:0.000000
103:@0.560954:0.847208:0.587527:0.847208:0.587527:0.831539:0.560954:0.831539:0.000000:0.000000:0.000000
3:@0.367528:0.800927:0.372740:0.800927:0.372740:0.791846:0.367528:0.791846:0.000000
2:@0.428151:0.800927:0.433363:0.800927:0.433363:0.791846:0.428151:0.791846:0.000000
2:@0.509973:0.802810:0.515185:0.802810:0.515185:0.793729:0.509973:0.793729:0.000000
3:@0.549082:0.802810:0.554294:0.802810:0.554294:0.793729:0.549082:0.793729:0.000000
0:@0.167648:0.853772:0.172860:0.853772:0.172860:0.844690:0.167648:0.844690:0.000000
3:@0.220416:0.837661:0.225628:0.837661:0.225628:0.828580:0.220416:0.828580:0.000000
2:@0.281039:0.837661:0.286251:0.837661:0.286251:0.828580:0.281039:0.828580:0.000000
2:@0.362861:0.839545:0.368073:0.839545:0.368073:0.830463:0.362861:0.830463:0.000000
3:@0.401970:0.839545:0.407182:0.839545:0.407182:0.830463:0.401970:0.830463:0.000000
(:@0.174403:0.854986:-0.076821:0.854986:-0.076821:0.825709:0.174403:0.825709:0.000000
):@0.431764:0.854986:0.180540:0.854986:0.180540:0.825709:0.431764:0.825709:0.000000
():@0.164980:0.813607:0.187443:0.813607:0.187443:0.793674:0.164980:0.793674:0.000000:0.000000
(:@0.216025:0.803977:0.222161:0.803977:0.222161:0.784043:0.216025:0.784043:0.000000
):@0.256178:0.803977:0.262315:0.803977:0.262315:0.784043:0.256178:0.784043:0.000000
():@0.288322:0.803977:0.311154:0.803977:0.311154:0.784043:0.288322:0.784043:0.000000:0.000000
():@0.345534:0.813607:0.367279:0.813607:0.367279:0.793674:0.345534:0.793674:0.000000:0.000000
():@0.406165:0.813607:0.427909:0.813607:0.427909:0.793674:0.406165:0.793674:0.000000:0.000000
():@0.477316:0.813607:0.499060:0.813607:0.499060:0.793674:0.477316:0.793674:0.000000:0.000000
():@0.198426:0.850340:0.220171:0.850340:0.220171:0.830407:0.198426:0.830407:0.000000:0.000000
():@0.259057:0.850340:0.280802:0.850340:0.280802:0.830407:0.259057:0.830407:0.000000:0.000000
():@0.330208:0.850340:0.351952:0.850340:0.351952:0.830407:0.330208:0.830407:0.000000:0.000000
():@0.525038:0.850340:0.546782:0.850340:0.546782:0.830407:0.525038:0.830407:0.000000:0.000000
=:@0.190109:0.811153:0.200225:0.811153:0.200225:0.795580:0.190109:0.795580:0.000000
+:@0.234132:0.801527:0.244249:0.801527:0.244249:0.785954:0.234132:0.785954:0.000000
=:@0.315269:0.811153:0.286485:0.811153:0.286485:0.795580:0.315269:0.795580:0.000000
+:@0.376053:0.811153:0.347269:0.811153:0.347269:0.795580:0.376053:0.795580:0.000000
+:@0.447569:0.811153:0.418785:0.811153:0.418785:0.795580:0.447569:0.795580:0.000000
+:@0.518718:0.811153:0.489934:0.811153:0.489934:0.795580:0.518718:0.795580:0.000000
+:@0.557618:0.811153:0.528834:0.811153:0.528834:0.795580:0.557618:0.795580:0.000000
+:@0.228936:0.847886:0.208997:0.847886:0.208997:0.832313:0.228936:0.832313:0.000000
+:@0.300452:0.847886:0.280513:0.847886:0.280513:0.832313:0.300452:0.832313:0.000000
+:@0.371601:0.847886:0.351662:0.847886:0.351662:0.832313:0.371601:0.832313:0.000000
+:@0.410501:0.847886:0.390563:0.847886:0.390563:0.832313:0.410501:0.832313:0.000000
=:@0.440557:0.847886:0.420618:0.847886:0.420618:0.832313:0.440557:0.832313:0.000000
⇒:@0.480749:0.847886:0.498937:0.847886:0.498937:0.832313:0.480749:0.832313:0.000000
=:@0.549429:0.847886:0.559546:0.847886:0.559546:0.832313:0.549429:0.832313:0.000000
→:@0.157023:0.854166:0.167564:0.854166:0.167564:0.845141:0.157023:0.845141:0.000000
Q h:@0.151213:0.810475:0.181296:0.810475:0.181296:0.795082:0.151213:0.795082:0.000000:0.000000:0.000000
pa h:@0.205353:0.800849:0.256169:0.800849:0.256169:0.785456:0.205353:0.785456:0.000000:0.000000:0.000000:0.000000
pa:@0.277652:0.800849:0.304409:0.800849:0.304409:0.785456:0.277652:0.785456:0.000000:0.000000
h:@0.253247:0.821401:0.262755:0.821401:0.262755:0.806008:0.253247:0.806008:0.000000
h:@0.436639:0.810475:0.446147:0.810475:0.446147:0.795082:0.436639:0.795082:0.000000
h:@0.500507:0.810475:0.510016:0.810475:0.510016:0.795082:0.500507:0.795082:0.000000
h:@0.539610:0.810475:0.549119:0.810475:0.549119:0.795082:0.539610:0.795082:0.000000
h:@0.289531:0.847208:0.299040:0.847208:0.299040:0.831815:0.289531:0.831815:0.000000
h:@0.353399:0.847208:0.362908:0.847208:0.362908:0.831815:0.353399:0.831815:0.000000
h:@0.392503:0.847208:0.402011:0.847208:0.402011:0.831815:0.392503:0.831815:0.000000
dp:@0.503697:0.838689:0.522180:0.838689:0.522180:0.823296:0.503697:0.823296:0.000000:0.000000
dx:@0.504059:0.858133:0.520736:0.858133:0.520736:0.842740:0.504059:0.842740:0.000000:0.000000
h:@0.151736:0.853774:0.157246:0.853774:0.157246:0.844853:0.151736:0.844853:0.000000
Shutterstock, 1288864738.:@0.896371:0.920250:0.896371:0.828129:0.882475:0.828129:0.882475:0.920250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000