Let f(x) =x-6/x + 1(a) Find the derivative of the function f. (Simplify your answer completely.)f'(x) =(Express your answer as a single fraction.)(b) State the

Let f(x) =x³-6/x² + 1(a) Find the derivative of the function f. (Simplify your answer completely.)f'(x) =(Express your answer as a single fraction.)(b) State the domain off and the domain of f'. (Enter your answer using interval notation.)The domain of fisThe domain of f'is(c) Determine the value(s) of x in the domain of f, if any, at which the function is not differentiable. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)