Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.7 The Chain Rule - Exercises - Page 147: 88



Work Step by Step

According to the chain rule, $(g(f(x)))'=g'(f(x))\times f'(x)$ Then, $\frac{d}{dx}(g(f(x))|_{x=1}=g'(f(1))\times f'(1)$ $=g'(4)\times5=\frac{1}{2}\times5=\frac{5}{2}$
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.