Calculus (3rd Edition)

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


$ 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$.
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