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: 6

Answer

(a) Negative (b) Negative

Work Step by Step

(a) The value of $z$ of the graph decreases at the point $(-1, 2)$ as the value of $x$ increases from the point along the x- axis, so this represents the negative values of $f_{x}$. Thus,$f_{x} (-1,2)$ is negative. (b) The value of $z$ of the graph decreases as the value of $y$ increases near the point $(-1, 2)$, so this represents the negative values of $f_{y}$. Thus,$f_{y} (-1,2)$ is negative.
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