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: 13

Answer

Rolle's Theorem cannot be applied.

Work Step by Step

$f(x)$ is continuous over the closed interval, but it is not differentiable over the open interval. The function is not differentiable at $x=0$ $ ( f(x)$ has a cusp$)$ and hence Rolle's Theorem cannot be applied.
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