Question

Differentiate w.r.t $x$:

$y=\frac{x-1}{x^2-1}$

Answer 1

We have,

$y=\frac{x-1}{x^2-1}$

$y=\frac{1}{x+1}$

On differentiating w.r.t $x$, we get

$\frac{dy}{dx}=-\frac{1}{(x+1{)}^2}$

Hence, this is the answer.