Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Section 3.11 - Hyperbolic Functions - 3.11 Exercises: 37

Answer

$$y'=3e^{\cosh 3x}\sinh 3x $$

Work Step by Step

$y'=\frac{d}{dx}e^{\cosh 3x}$ Using the chain rule: $y'=\frac{de^{\cosh 3x}}{d\cosh 3x} \times \frac{d\cosh 3x}{d3x} \times \frac{d3x}{dx}$ $=e^{\cosh 3x} \times\sinh 3x \times 3$ $=3e^{\cosh 3x}\sinh 3x $
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