"find the stationary points of the following curves and determine whether the points are maxima, minima, or points of inflexion"

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

I know how to these sorts of questions but for this example i find it tricky, I set it as:

y= (x + 1) (x - 1)^-1 but then differentiating this is tricky - not sure how to use the chain rule on the latter, or the product rule overall.

thanks for any help.