Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises: 14

Answer

$y'=tan(x)$

Work Step by Step

Start with the function: $y=ln(sec(x))$. Use chain rule to differentiate: $y'=\frac{1}{sec(x)}*\frac{d}{x}(sec(x))$. Differentiate $sec(x)$ and plug in: $y' = \frac{sex(x)tan(x)}{sec(x)}$. Simplify to arrive at the answer: $y'=tan(x)$.
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