1. The problem statement, all variables and given/known data Sketch the graph of the function f(x)=(2(x^2+1)^1/2)/(x-1) 2. Relevant equations All the derivative simplification rules 3. The attempt at a solution The only part of the question I need help with here is finding the derivative of this function. In my book it says the derivative is f'(x)=(-3(x+1))/((x-1)^2(x^2+1)^1/2), but all I can get is f'(x)=(2x(x-1)-2(x^2+1)^1/2)/((x-1)^2(x^2+1)^1/2). I don't know how to go about simplifying this any further. Any help on this would be greatly appreicated, as I have a similiar question like this in my homework questions. Thanks in advance.