Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3: 9

Answer

$=-\frac{3}{x^{4}}-\frac{7}{x^{8}}.$

Work Step by Step

Restate $\frac{1}{x^{7}}$ as $x^{-7}$. Now, the power rule for derivatives ($[x^{n}]'=nx^{n-1}$) can be used to get $=-3x^{-3-1}-7x^{-7-1}=-\frac{3}{x^{4}}-\frac{7}{x^{8}}.$
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