Question

Calcular a derivada de,
$y= \frac{x+1}{x-1}$

Answer 1

y=(x+1)/(x-1)

Utilizando da regra do quociente,temos que:

dy/dx=(1*(x-1)-(1)*(x+1))/(x-1)²

dy/dx=(x-1-x-1)/(x-1)² ⇒ dy/dx= -2/(x-1)²