Exercices de dérivation

Dériver les fonctions suivantes

1)  f(x) =  (-2 x - 1)/x^2

2)  f(x) =  (x + 3)^2/(x - 1)

3)  f(x) =  (2 x + 1)/(x^2 + 5)^(1/2)

4)  f(x) =  (x - 5) (5 x - 2)^(1/2)

5)  f(x) =  (4 x^(1/2) - 5)/(x^(1/2) + 4)

6)  f(x) =  (2 x^2 + 4)^(1/3)

7)  f(x) =  (2 x + 3)/(4 x - 4)^(1/2)

8)  f(x) =  (4 sin(x))/(5 cos(x) + 2 sin(x))

9)  f(x) = sin((3 - 4 x)/(5 x - 1))

10)  f(x) =  -cos(5 x) - 2 sin(2 x)

Solutions :

version imprimable (exderivation.pdf - 38Ko)

Created by Mathematica  (Mars 12, 2006)
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