Question: Suppose that the function f has a continuous second derivative for all x and that f(0) = -1, f'(0) = -2 and f(0) = 3.

Suppose that the function f has a continuous second derivative for all x and that f(0) = -1, f'(0) = -2 and f"(0) = 3.

Let h be a function whose derivative is given by h'(x) = (2x-1)*(f'(x) + 2) for all x.

Does h have a local maximum or a local minimum at x=0? Justify your answer.

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