Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.2 The Derivative as a Function - Exercises - Page 116: 81

Answer

$ f(x)$ appears to be not differentiable at $x=0$ (the tangent line does not exist at this point).

Work Step by Step

Given $$f(x)=|\sin x|, \quad a=0$$ From the following figure, $f(x)$ has a sharp corner at $x=0$. $f(x)$ appears to be not differentiable (the tangent line does not exist at this point).
Small 1583402241
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.