Answer
$$F'(z) =\frac{2z }{\ln 10(1+z^2)}$$
Work Step by Step
Given $$F(z)=\log_{10}\left(1+z^2\right)$$
Then
\begin{align*}
F(z)&= \frac{\ln\left(1+z^2\right)}{\ln 10}\\
F'(z)&=\frac{2z }{\ln 10(1+z^2)}\\
\end{align*}
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - Review - Exercises - Page 505: 36
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