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