Math Help - Chain rule problem

1. Chain rule problem

Hey everyone, i had a question, well about 5, but im not able to answer them. if you guys help explain the problem below, i should be able to do the rest by myself

find dy/dx if y= (u^2 - 1) and u = (1 / (x - 1))

can you also explain with words so that i can know what is happening

thanks alot

2. Re: Chain rule problem

From the chain rule, we have:

$\frac{dy}{dx}=\frac{dy}{du}\cdot\frac{du}{dx}$

Find $\frac{dy}{du}$ and $\frac{du}{dx}$ and plug them into the formula above. Rewrite $u$ in terms of $x$.