Suppose that f is differentiable for all x and consider the function For the following functions, graph

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Suppose that f is differentiable for all x and consider the function

f(x + 0.01) – f(x) D(x) 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(x) = sin x on [-π, π]

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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