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: 5

Answer

(a) Positive (b) Negative

Work Step by Step

(a) Since, the graph of $f$ increases for $z$, if we start at $(1, 2)$ and move in the positive x- direction, this represents the positive values of $f$. Thus, $f_{x} (1,2)$ is positive. (b) Since, the graph of $f$ decreases, if we start at $(1, 2)$ and move in the positive y- direction, this represents the negative values of $f$. Thus,$f_{y} (1,2)$ is negative.
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