CALCULO DIFERENCIAL E INTEGRAL

[pic 1]

UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO

ESCUELA NACIONAL PREPARATORIA PLANTEL JOSÉ VASCONCELOS # 5

MATERIA CALCULO DIFERENCIAL E INTEGRAL

 Serie 8 , Derivadas

PROFESOR: GARCÍA SILVA JAHEL.  

CANSECO SÁNCHEZ GUILLERMO

MENDIETA LÓPEZ DIEGO

SANTIBAÑEZ GUADALUPE LILIA JIMENA

SUAREZ ALVARADO SANTIAGO

VÁZQUEZ ALAMILLA MARIA FERNANDA

TOVIAS SEBASTIAN

                                                  Grupo :669

Haga los desarrollos y verifique si esta correcta la derivada de cada una de las siguientes funciones

• [pic 2]
•                 [pic 3][pic 4]

+    [pic 5][pic 6]

+[pic 7][pic 8]

  [pic 9][pic 10]

 [pic 11]

• [pic 12]

 [pic 13][pic 14]

 [pic 15]

 [pic 16]

[pic 17]

[pic 18]

[pic 19]

• [pic 20]

[pic 21]

[pic 22]

[pic 23]

[pic 24]

•          [pic 25][pic 26]

[pic 27]

[pic 28]

[pic 29]

[pic 30]

• [pic 31]

[pic 32]

[pic 33]

[pic 34]

[pic 35]

[pic 36]

[pic 37]

• [pic 38]

 [pic 39]

[pic 40]

[pic 41]

[pic 42]

• [pic 43]

[pic 44]

+[pic 45][pic 46]

[pic 47]

 = [pic 48][pic 49]

[pic 50]

[pic 51]

• [pic 52]

[pic 53]

[pic 54]

[pic 55]

[pic 56]

[pic 57]

• [pic 58]

[pic 59]

[pic 60]

[pic 61]

[pic 62]

[pic 63]

• [pic 64]

[pic 65]

[pic 66]

 [pic 67]

[pic 68]

[pic 69]

[pic 70]

  [pic 71]

• [pic 72][pic 73]

[pic 74]

[pic 75]

[pic 76]

[pic 77]

[pic 78]

[pic 79]

Determine y ´= Dxy = d/dx ( y ) para los siguientes casos ( derivada implícita ):

[pic 80]

=-[pic 81][pic 82]

[pic 83]

[pic 84]

[pic 85]

[pic 86]

[pic 87]

[pic 88]

2.

[pic 89]

[pic 90]

[pic 91]

[pic 92]

[pic 93]

[pic 94]

[pic 95]

[pic 96]

[pic 97]

 3.

[pic 98]

[pic 99]

           4.

[pic 100]

           5. [pic 101]

[pic 102]

[pic 103]

...