Answer
$f'(t)=3(\ln2)t^{2}(2^{t^{3}})$
Work Step by Step
$f(t)=2^{t^{3}}$
Differentiate using the chain rule:
$f'(t)=(2^{t^{3}})(\ln2)(t^{3})'=(2^{t^{3}})(\ln2)(3t^{2})=3(\ln2)t^{2}(2^{t^{3}})$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 3 - Section 3.4 - The Chain Rule - 3.4 Exercises - Page 206: 26
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