Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - Review - True-False Quiz - Page 285: 8

Answer

FALSE

Work Step by Step

Slope of line joining $(1,f(1)$ and $(3,f(3)$ is $\frac{f(3)-f(1)}{3-1}=\frac{0-(-2)}{2}=1$ According to mean value theorem , there is at least one value of $cāˆˆ(1,3)$ for which $f'(c)=1$ Hence, the given statement is false.
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