Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.2 - The Mean Value Theorem - Exercises 4.2 - Page 197: 7


Does not satisfy

Work Step by Step

Since, we have, $f(x)=x^{\frac{2}[3}$ Also, $f'(x)=\dfrac{2}{3x^{1/3}}$ . This implies that the function is undefined at $x=0$. So, this is not differentiable at $x=0$. Hence, The Mean value Theorem does not satisfy.
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