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 - 3.1 Exercises - Page 167: 5

Answer

$f'(-2)$ is undefined.

Work Step by Step

Applying the chain rule with $u=x+2\to \dfrac{du}{dx}=1\to$ $f'(x)=\dfrac{2}{3\sqrt[3]{x+2}}; x\ne -2$ $f'(-2)$ is undefined.
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