Question: In Problem, do the following for each function f (x). (a) Find f'(x) and f(x). (b) Graph f (x), f'(x), and f(x) with a graphing
In Problem, do the following for each function f (x).
(a) Find f'(x) and f"(x).
(b) Graph f (x), f'(x), and f"(x) with a graphing utility.
(c) Identify x-values where f"(x) = 0, f"(x) > 0, and f"(x) < 0.
(d) Identify x-values where f '(x) has a maximum point or a minimum point, where f'(x) is increasing, and where f'(x) is decreasing.
(e) When f (x) has a maximum point, is f"(x) > 0 or f"(x) < 0?
(f) When f (x) has a minimum point, is f"(x) > 0 or f"(x) < 0?
f (x) = 2 + 3x - x3
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