Esercizi sulle derivate di funzioni 2

Metodi Matematici per l’Economia
Prof. Domenico De Giovanni
a.a. 2011/2012
Esercizi da Svolgere – DERIVATE
1)
f ( x ) = x 3 ⋅ ( x − 2 ) ⋅ (7 x + 1)
2)
f (x ) =
x 3 ⋅ ( x + 1)
x −1
3)
f (x ) =
x −1
+ 2x3
2
x +1
4)
x 2 − 2x − 3
f (x ) =
x−5
5)
f (x ) =
6)
f (x ) =
4
17 x ( x + 1)
x2 −1
1
x −1
7)
f (x ) =
x
4− x
8)
f (x ) =
x( x − 2 ) +
x2 −1
9)
f (x ) = x ⋅ e
10) f ( x ) = x x
2
11) f ( x ) = lg 2
(
x 2 +1
x
−4
(1 − lg x )
x −1
x +1
)
12) f ( x ) = x 2 + 1
x −1