Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.2 Exercises: 92

Answer

False

Work Step by Step

By rewriting the function as $f(x)=x^{-n}$ we get that (using the power rule) $f'(x)=(-n)(x^{-n-1})=-\frac{n}{x^{n-1}}$ which is not what the given statement is so the statement is false.
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