Find the maximum rate of change of f at the given point and the direction in which it occurs for f(x, y, z) = 2X+ 7Y at (1,7,–1). Enter the maximum rate of change into R and enter the direction unit vector into v as a 1 x 3 array.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
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Find maximhm rate of change 

Find the maximum rate of change of f at the given point and the direction in which it occurs for f(x, y, z)
3x + 7y at (1, 7, –1). Enter the maximum rate of change into R and enter
Z.
the direction unit vector into v as a 1 × 3 array.
Transcribed Image Text:Find the maximum rate of change of f at the given point and the direction in which it occurs for f(x, y, z) 3x + 7y at (1, 7, –1). Enter the maximum rate of change into R and enter Z. the direction unit vector into v as a 1 × 3 array.
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