Answer
F'(s) = $\frac{1}{s\times lns}$
Work Step by Step
We use the rule for taking the derivative of a natural log to obtain:
F'(s) = $\frac{(lns)'}{lns}$
F'(s) = $\frac{\frac{1}{s}}{lns}$
F'(s) = $\frac{1}{s\times lns}$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises - Page 224: 15
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