Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Applications of Differentiation - 3.2 Exercises: 76

Answer

True.

Work Step by Step

Let $a$ and $b$ be any two x-values in the domain of $f(x).$ Using Rolle's Theorem over the interval $[a. b]\to$ $f'(x)=\dfrac{f(b)-f(a)}{b-a}\to$ $0=\dfrac{f(b)-f(a)}{b-a}=\to f(b)=f(a)\to f(x)$ is constant.
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