Question

Calcule a devida da função f(x) = (x2 - 1)3

Answer 1

$\boxed{\boxed{\left(U^N\right)' = N*U^{N-1}*U'}}\\\\\text{aplicando isso}\\\\\\ f(x)=(x^2-1)^3\\\\f'(x)=3*(x^2-1)^{3-1} *(x^2-1)'\\\\f'(x)=3*(x^2-1)^2*(2x^{2-1}-0)\\\\f'(x)=3*(x^2-1)^2*2x\\\\f'(x)=6x*(x^2-1)^2$