Question

DERIVADA DE

$f(v)=(1-2v/1+v) ^{3}$

Answer 1

           $f(v)=\left(\dfrac{1-2v}{1+v}\right)^3\\ \\ f'(v)=3\left(\dfrac{1-2v}{1+v}\right)^2\left(\dfrac{1-2v}{1+v}\right)'\\ \\ f'(v)=3\left(\dfrac{1-2v}{1+v}\right)^2\left[\dfrac{(1-2v)'(1+v)-(1-2v)(1+v)'}{(1+v)^2}\right]\\ \\ f'(v)=3\left(\dfrac{1-2v}{1+v}\right)^2\left[\dfrac{(-2)(1+v)-(1-2v)(1)}{(1+v)^2}\right]\\ \\ f'(v)=3\left(\dfrac{1-2v}{1+v}\right)^2\left[\dfrac{-3}{(1+v)^2}\right]$

de aquí en adelante es sencillo