147:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603971:0.043660:0.926928:0.043660:0.926928:0.024915:0.603971:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos algunos ejercicios para encontrar la derivada en  :@0.073089:0.149344:0.516659:0.149344:0.516659:0.132910:0.073089:0.132910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función de x dada la función, implícita o explícitamente.:@0.073081:0.165986:0.477547:0.165986:0.477547:0.149552:0.073081:0.149552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.     = x  :@0.073089:0.193349:0.150477:0.193349:0.150477:0.176915:0.073089:0.176915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107248:0.193349:0.114721:0.193349:0.114721:0.176943:0.107248:0.176943:0.000000
2:@0.141255:0.187285:0.146492:0.187285:0.146492:0.177704:0.141255:0.177704:0.000000
Arccsc x:@0.150403:0.193349:0.205021:0.193349:0.205021:0.176943:0.150403:0.176943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.     = :@0.073089:0.289033:0.133534:0.289033:0.133534:0.272600:0.073089:0.272600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107248:0.289033:0.114721:0.289033:0.114721:0.272627:0.107248:0.272627:0.000000
  y = (cos  x):@0.183113:0.289033:0.280325:0.289033:0.280325:0.272600:0.183113:0.272600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(-1):@0.249732:0.282970:0.263726:0.282970:0.263726:0.273389:0.249732:0.273389:0.000000:0.000000:0.000000:0.000000
(-1):@0.280231:0.282970:0.294225:0.282970:0.294225:0.273389:0.280231:0.273389:0.000000:0.000000:0.000000:0.000000
3.   :@0.073089:0.394962:0.107322:0.394962:0.107322:0.378529:0.073089:0.378529:0.000000:0.000000:0.000000:0.000000:0.000000
Arccsc x y:@0.107248:0.394962:0.179994:0.394962:0.179994:0.378556:0.107248:0.378556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) = 3  + :@0.151186:0.394962:0.243867:0.394962:0.243867:0.378529:0.151186:0.378529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.163372:0.388900:0.168609:0.388900:0.168609:0.379319:0.163372:0.379319:0.000000
2:@0.179920:0.388900:0.185157:0.388900:0.185157:0.379319:0.179920:0.379319:0.000000
x:@0.217600:0.394962:0.225055:0.394962:0.225055:0.378556:0.217600:0.378556:0.000000
x:@0.243775:0.394962:0.251230:0.394962:0.251230:0.378556:0.243775:0.378556:0.000000
2 :@0.251169:0.388900:0.258714:0.388900:0.258714:0.379319:0.251169:0.379319:0.000000:0.000000
2:@0.258663:0.394408:0.273996:0.394408:0.273996:0.380692:0.258663:0.380692:0.000000
   :@0.273904:0.394962:0.294529:0.394962:0.294529:0.378529:0.273904:0.378529:0.000000:0.000000:0.000000
y:@0.277862:0.394962:0.285335:0.394962:0.285335:0.378556:0.277862:0.378556:0.000000
3:@0.285261:0.388900:0.290498:0.388900:0.290498:0.379319:0.285261:0.379319:0.000000
Hallamos la derivada con respecto a x implícitamente:@0.103204:0.418746:0.506735:0.418746:0.506735:0.402077:0.103204:0.402077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = 3+2x-3y  y' despejamos a y':@0.243509:0.463623:0.461011:0.463623:0.461011:0.447189:0.243509:0.447189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.320988:0.457559:0.326225:0.457559:0.326225:0.447978:0.320988:0.447978:0.000000
4.     = arcos :@0.073089:0.750975:0.175568:0.750975:0.175568:0.734542:0.073089:0.734542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107248:0.750975:0.114721:0.750975:0.114721:0.734569:0.107248:0.734569:0.000000
   0 ≤   ≤  ,   >   > 0:@0.272788:0.750975:0.422720:0.750975:0.422720:0.734542:0.272788:0.734542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312332:0.750975:0.319787:0.750975:0.319787:0.734569:0.312332:0.734569:0.000000
p:@0.338507:0.750421:0.350785:0.750421:0.350785:0.736705:0.338507:0.736705:0.000000
a:@0.357761:0.750975:0.367020:0.750975:0.367020:0.734569:0.357761:0.734569:0.000000
b:@0.385740:0.750975:0.394999:0.750975:0.394999:0.734569:0.385740:0.734569:0.000000
La siguiente tabla muestra las derivadas  :@0.587360:0.177865:0.855806:0.177865:0.855806:0.162925:0.587360:0.162925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las funciones trigonométricas inversas:@0.587361:0.192994:0.858674:0.192994:0.858674:0.178054:0.587361:0.178054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función  :@0.646377:0.227563:0.709011:0.227563:0.709011:0.212409:0.646377:0.212409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométrica :@0.622163:0.242692:0.729738:0.242692:0.729738:0.227538:0.622163:0.227538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversa:@0.649656:0.257821:0.698663:0.257821:0.698663:0.242667:0.649656:0.242667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada de la :@0.791760:0.219999:0.893957:0.219999:0.893957:0.204845:0.791760:0.204845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función  :@0.814636:0.235128:0.874593:0.235128:0.874593:0.219974:0.814636:0.219974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométrica :@0.789083:0.250257:0.896658:0.250257:0.896658:0.235102:0.789083:0.235102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversa:@0.816577:0.265386:0.865584:0.265386:0.865584:0.250231:0.816577:0.250231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x=arc senx:@0.623317:0.293929:0.724922:0.293931:0.724922:0.279017:0.623317:0.279014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644631:0.288125:0.652758:0.288125:0.652758:0.280855:0.644631:0.280855:0.000000
1:@0.652709:0.288419:0.657470:0.288419:0.657470:0.279709:0.652709:0.279709:0.000000
cos x=arc cosx:@0.623819:0.331481:0.724425:0.331481:0.724425:0.316567:0.623819:0.316567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644606:0.325675:0.652733:0.325675:0.652733:0.318405:0.644606:0.318405:0.000000
1:@0.652684:0.325969:0.657445:0.325969:0.657445:0.317259:0.652684:0.317259:0.000000
tan x=arc tanx:@0.622874:0.366287:0.725357:0.366287:0.725357:0.351372:0.622874:0.351372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644631:0.360480:0.652758:0.360480:0.652758:0.353211:0.644631:0.353211:0.000000
1:@0.652709:0.360774:0.657470:0.360774:0.657470:0.352064:0.652709:0.352064:0.000000
cot x=arc cotx:@0.624748:0.398346:0.723490:0.398346:0.723490:0.383432:0.624748:0.383432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644631:0.392540:0.652758:0.392540:0.652758:0.385270:0.644631:0.385270:0.000000
1:@0.652709:0.392834:0.657470:0.392834:0.657470:0.384124:0.652709:0.384124:0.000000
sec x=arc secx:@0.624982:0.433150:0.723249:0.433150:0.723249:0.418236:0.624982:0.418236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644631:0.427344:0.652758:0.427344:0.652758:0.420074:0.644631:0.420074:0.000000
1:@0.652709:0.427638:0.657470:0.427638:0.657470:0.418928:0.652709:0.418928:0.000000
csc x=arc cscx:@0.625099:0.470700:0.723131:0.470700:0.723131:0.455786:0.625099:0.455786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.644631:0.464894:0.652758:0.464894:0.652758:0.457624:0.644631:0.457624:0.000000
1:@0.652709:0.465188:0.657470:0.465188:0.657470:0.456478:0.652709:0.456478:0.000000
EBC 11. Desarrolla métodos para hallar las derivadas de algunas funciones básicas.:@0.082889:0.971366:0.513460:0.971366:0.513460:0.959414:0.082889:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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