Do the following for each function f(x).

(a) Find f'(x).

(b) Graph both f(x) and f'(x) with a graphing utility.

(c) Determine x-values where f'(x) = 0, f'(x) > 0, f'(x) < 0.

(d) Determine x-values for which f(x) has a maximum or minimum point, where the graph is increasing, and where it is decreasing.

1. f(x) = 12 - 3 (1 - x2)4/3

2. f(x) = 3 + 1/16 (x2 - 4x)4