Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Section 14.3 - Partial Derivatives - 14.3 Exercise - Page 925: 51


a. $z_x=f'(x)$ $z_y=g'(y)$ b. $z_x=f'(x+y)$ $z_y=f'(x+y)$

Work Step by Step

Take the first partial derivatives of the given function. When taking partial derivative with respect to x, treat y as a constant, and vice versa: a. $z_x=f'(x)$ $z_y=g'(y)$ b. $z_x=f'(x+y)\times1$ $z_y=f'(x+y)\times1$
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