Answer
$\cosh (2x+1)$
Work Step by Step
Since, $\dfrac{d}{dx} (\cosh x)=\sinh x$
As we are given that $y=\dfrac{1}{2} \sinh (2x+1)$
Then, on differentiating , we have
$\dfrac{dy}{dx}= \dfrac{1}{2} \cosh (2x+1) (2)= \cosh (2x+1)$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Section 7.3 - Hyperbolic Functions - Exercises - Page 417: 14
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
