Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Section 3.4 - The Chain Rule - 3.4 Exercises: 24

Answer

$f'(t)=3(\ln2)t^{2}(2^{t^{3}})$

Work Step by Step

$f(t)=2^{t^{3}}$ Differentiate using the chain rule: $f'(t)=(2^{t^{3}})(\ln2)(t^{3})'=(2^{t^{3}})(\ln2)(3t^{2})=3(\ln2)t^{2}(2^{t^{3}})$
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.