Calculus 10th Edition

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

Chapter 3 - Differentiation - 3.2 Exercises - Page 174: 23

Answer

Rolle's Theorem cannot be applied.

Work Step by Step

$f(x)$ is not differentiable at $x=0$. This is indicated by the sharp corner the graph has (not smooth) and hence Rolle's Theorem cannot be applied. A graphing utility was used to graph the function.
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