Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises: 119

Answer

$f^{(n)}(x)=n!$

Work Step by Step

$f'(x)=nx^{n-1}$ $f''(x)=n(n-1)x^{n-2}$ $f'''(x)=n(n-1)(n-2)x^{n-3}$ ... $f^{(n)}(x)=n(n-1)(n-2)...(1)x^{n-n}=n!x^0=n!$
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