University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 7 - Section 7.3 - Hyperbolic Functions - Exercises - Page 417: 5

Answer

$x+\dfrac{1}{x}$

Work Step by Step

Use formula: $ \cosh x= \dfrac{e^x+e^{-x}}{2}$ Thus, $2 \cosh ( \ln x)=2[ \dfrac{e^{\ln x}+e^{-\ln x}}{2}]=e^{\ln x}+e^{-\ln x}=e^{\ln x}+e^{\ln x^{-1}}$ Hence, $2 \cosh ( \ln x)=x+x^{-1}=x+\dfrac{1}{x}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.