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.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - 2.2 Exercises - Page 116: 92
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