8586. Difference quotients Suppose that f is

Chapter 3, Problem 85

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8586. Difference quotients Suppose that f is differentiable for all x and consider the function D1x2 = f 1x + 0.012 - f 1x2 0.01 . For the following functions, graph D on the given interval, and explain why the graph appears as it does. What is the relationship between the functions f and D? f 1x2 = sin x on 3-p, p4

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