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 - Page 141: 61

Answer

$\frac{dF}{dr} = \frac{-2GmM}{r^{3}}$

Work Step by Step

The formula can be written as: $$F = GmMr^{-2}$$ In this formula $GmM$ can be treated as a contant as only $r$ is changing. Thus: $$\frac{dF}{dr} = -2GmMr^{-3} = \frac{-2GmM}{r^{3}}$$
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