Question

Calcule a derivada da função e marque a alternativa correta:

Answer 1

$\displaystyle \sf \text{Regra do produto} : \\\\ (f \cdot g )'= f'\cdot g+f\cdot g' \\\\ Temos : \\\\ R(a) = sen(a)\cdot x^3 \\\\ R'(a) = [sen(a)]'\cdot x^3 +sen(a)\cdot[x^3]' \\\\ R'(a) = cos(a)\cdot x^3 +sen(a)\cdot 3x^2 \\\\ \\ \boxed{\sf R'(a) = cos(a)\cdot x^3 +3\cdot x^2\cdot sen(a) \ }\checkmark$

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