Find the maximum rate of change of f at the given point and the direction in which it occurs. a) f(x, y) = 5 sin(xy), (0,7) b) f(x, y, z) = 7x + 5y (4, 1,-1) maximum rate of change direction vector Need Help? Watch it Master It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Find the maximum rate of change of f at the given point and the direction in which it occurs.
a) f(x, y) = 5 sin(xy),
(0,7)
b) f(x, y, z) = 7x + 5y
(4, 1,-1)
maximum rate of change
direction vector
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Watch it
Master It
Transcribed Image Text:Find the maximum rate of change of f at the given point and the direction in which it occurs. a) f(x, y) = 5 sin(xy), (0,7) b) f(x, y, z) = 7x + 5y (4, 1,-1) maximum rate of change direction vector Need Help? Watch it Master It
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