Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is shown in the figure. The graph of f'has horizontal tangents at x = -3,-1 and 3. 5. the graph of the derivative of f f (a) Find an equation of the line tangent to the graph of f at the point (3, 1). -2 12 14 (b) Find all values of x on the open (-4, 4) at which f has a local minimum? Justify your answer. (c) Estimate f"(2). (d) Find the x-coordinate of each point of inflection of the graph of f on the open interval (-4, 4). Justify your answer. (e) At what values of x does f achieve its maximum on the closed interval [0, 4]?

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