For each function in Problems, do the following.

(a) Find f'(x).

(b) Graph both f (x) and f'(x) using a graphing calculator.

(c) Use the graph of f'(x) to identify x-values where

f'(x) = 0, f'(x) > 0, and f'(x) < 0.

(d) Use the graph of f (x) to identify x-values where f (x) has a maximum or minimum point, where the graph of f (x) is rising, and where the graph of f (x) is falling.

f(x) = x² + 4x - 12