Question

derive ( x³ +2x)³⁷.
Muito obrigada ​

Answer 1

Regra da cadeia

$\mathsf{[f(g(x))]'=f'(g(x)).g'(x)}$

Derivada da potência

$\mathsf{(u^n)'=nu^{n-1}}$

$\mathsf{[(x^3+2x)^{37}]'=37(x^3+2x)^{36}.(3x^2+2)}$

$\mathsf{[(x^3+3x)^{37}]'=(111x^2+74)(3x^2+2)^{36}}$