In Problems below, f '(x) and its graph are given.

(a) Use the graph of f '(x) to determine (estimate) where the graph of f (x) is increasing, where it is decreasing, and where it has relative extrema.

(b) Use the graph of f '(x) to determine where f ''(x) > 0, where f '' (x) > 0, and where f ''(x)=0.

(c) Verify that the given f(x) has f'(x) as its derivative, and graph f (x) to check your conclusions in part (a).

(d) Calculate f ''(x) and graph it to check your conclusions in part (b).

1. f '(x) = x2 + 4x - 5 ( for f(x) = x3/3 + 2x2 - 5x )

2. f '(x) = 6x2 - x3( for f(x) = 2x3 = 2x3 - x4 / 4)

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