Taller#2d

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TALLER#2: CÁLCULO DIFERENCIAL – CDX DIEGO AGUDELO – DERIVADAS

1. Encontrar la derivada de las siguientes funciones:

a) f ( x) 

5ln x  e x x 1

b) f ( x)  x ln( x  2)

c) f ( x) 

6 x 3e x  5 x 2 ln x x 1 ln x  3 x 2e x

d) f ( x)  ln( x 3  2 x  1)

e) f ( x)  e 2 x

3

f) f ( x) 

x

ln( x  2 x 2 )  5 x 3e x ex

2

1

a) f ( x)  (2 x  3) 2

b) f ( x )  ( x  2 x 3 )3

c) f ( x)  x 3  2 x 2  1

d) f ( x )  sen 2 ( x 2  1)

g) f ( x)  ( sen x  3 x  2) 2

2

4 x 2 sen 2 x i) f ( x)  cos 2 ( x 3  2 x)  x

f) f ( x )  tan( x  1  x )

2



h) f ( x )  

3

 

3 x 2  5 x   6x  3  



 2 x  5 x 3 

j) f ( x)   

 x 2

 x ln( 3 x  2 x )

2. Encontrar la derivada de las siguientes funciones:

e) f ( x)  tan 2 xsen 2 ( x 2  1)

3



x3  x 

3 2

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