Dérivée d'un produit

Calculez la dérivée de la fonction définie sur RR par f(x)=u(x)v(x) avec :

u(x)=7x 2
v(x)=5x 2+3x−4

Les fonctions u et v sont dérivables sur RR et :

u′(x) =
v′(x) =

On applique la formule de dérivation :

, ,

La dérivée mise sous forme polynomiale développée est :

f′(x) =

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