Question: 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)

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

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