For 37 and 38, Figures 5-7h and 5-7i show the graph of the derivative, , of a continuous

Chapter 5, Problem 37

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For 37 and 38, Figures 5-7h and 5-7i show the graph of the derivative, , of a continuous function f. The graph of f is to contain the marked point. Recall that where (x) = 0, the tangent to the graph of f is horizontal. Also recall that amount (x) dx when x changes from a to b. Use f(x) = (x) dx, and thus f(x) changes by an this information and the fact that the definite integral represents an area to sketch the graph of f on a copy of the figure.