University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 13 - Section 13.3 - Partial Derivatives - Exercises - Page 702: 40


$$A_c=m \\ A_h=\dfrac{q}{ 2} \\A_{k}=\dfrac{m}{q} \\A_{m}=\dfrac{k}{q}+c \\A_{q}=-\dfrac{km}{q^2}+\dfrac{h}{2}$$

Work Step by Step

Our aim is to take the first partial derivative of the given function $A$ with respect to one of its variables, by treating all others as a constant: $$A_c=m \\ A_h=\dfrac{q}{ 2} \\A_{k}=\dfrac{m}{q} \\A_{m}=\dfrac{k}{q}+c \\A_{q}=-\dfrac{km}{q^2}+\dfrac{h}{2}$$
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