Answer
True.
Work Step by Step
The derivative of $ln|x|$ is $\frac{1}{x}$. The definition of an odd function is a function where $f(x)=-f(-x)$. $$\frac{1}{x}=\frac{-1}{-x}$$ Therefore, the derivative of $ln|x|$ is odd.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2 - Page 425: 33
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