Originally Posted by
coolguy99 (-1)/(x-1)^2
So, you do it in the same way as the first. Quotient rule, and then you've got a chain rule in the denominator.
alternatively, you can bring the whole bottom up to the top,
-1[(x-1)^-2]
and just do the chain rule, so
-1(-2)[(x-1)^-3] =
2/(x-1)^3