Answer
$ f^{(4)}(1)=24$
Work Step by Step
Since $ f(x)=x^4$, then
$$ f'(x)=4x^3, \quad f''(x)=12x^2, \quad f'''(x)=24x, \quad f^{(4)}(x)=24.$$
Hence, $ f^{(4)}(1)=24$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.5 Higher Derivatives - Exercises - Page 135: 17
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