Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 64

Answer

$y'=sec(x)$

Work Step by Step

$y= ln|sec(x)+tan(x)|$ $y’=\frac{(sec(x)tan(x))+(sec(x)^2}{sec(x)+tan(x)}$ $=\frac{sec(x)(sec(x)+tan(x))}{sec(x)+tan(x)}$ $=sec(x)$
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