Chapter 8.2, Problem 30E

From the graph of y = f'(x) on the next page, describe the shape of the graph of y = f(x) relative to where it is increasing, where it is decreasing, its concavity, and the locations of local maxima and minima. Make a sketch of a possible graph of y = f(x), – π ≤ x ≤ π, given that it has x intercepts at (–π, 0) and (π, 0). Identify f(x) and f'(x) as particular trigonometric functions.

Figure for 30