2. Consider the function f(x) = 2 + 10x +1 x - 2 (a Find the derivative, f'(x), and simplify it. (b) Find the function's critical numbers. (c) For each critical number, use the First Derivative Test to deter- mine if there is a local maximum, local minimum, or neither at that location. (d) Find the absolute maximum and minimum values of y = f(x) on the interval [-5, 1]. Answers should include both the x- and y-coordinates of the extrema