University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 3 - Section 3.2 - The Derivative as a Function - Exercises - Page 127: 62

Answer

The graph is super wiggly and bumpy. There does not seem to be any viewing windows in which the display portion of the graph is smooth.

Work Step by Step

The graph of $g(x)$ is plotted below. As you can see, the graph is super wiggly and bumpy. There does not seem to be any viewing windows in which the display portion of the graph is smooth enough to have tangent lines, and therefore, is differentiable.
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