Can someone help me find first and 2nd derviatives?

Question

What is the first and second derivatives of f(x)= x/(x-1)^2?

I'm confused...do u have to use the chain rule?

Answer 1

take f[x] = x and g[x] = (x-1)^2

Quotient rule states that f'[x]g[x] - f[x]g'[x]/ (g[x])^2
f[x]= x
f'[x]= 1
g[x]= (x-1)^2
g'[x]= 2(x-1) <-- using the chain rule

Plug in those values to get the first derivative and do the same with the 2nd derivative.