Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.3 Partial Derivatives - Exercises - Page 780: 6


Similar formulas.

Work Step by Step

The first equation has a regular derivative with respect to $x$ and $c$ is a constant. The second equation has a partial derivative with respect to $x$ and $y$ is treated as a constant. Thus any variable (such as $y$) can essentially become a constant (i.e. $c$) when taking a partial derivative. The end result is the same and we get similar formulas.
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