Question

A primeira derivada da função f(x)= -6/(x-1)^2

Answer 1

$f(x)=\frac{-6}{(x-1)^2}\\ \\ u=x-1\\ \\ u'=1\\ \\ f(x)=\frac{-6}{u^2}=-6u^{-2}\\ \\ f'(x)=12u^{-3}\cdot u'\\ \\ f'(x)=12(x-1)^{-3}$