1. The problem statement, all variables and given/known data Find where; f(z) = (z+1)/(z-i) is differentiable on the complex plane and find the formulas for f' 2. Relevant equations CR equations; if f(z) = u(x,y) + iv(x,y) u_x - v_y = 0 v_x + u_y = 0 if function is differentiable 3. The attempt at a solution My problem is splitting this into its real and imaginary components. Once I have it in re, im parts I know how to use the CR equations to find whether it's differentiable and then find the derivative.