Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5, 8, 7) 8 7 Vf(5, 8, 7) = 138 138 V138 Find the maximum value of the directional derivative at the given point. 1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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Find the gradient of the function at the given point.
Function
Point
f(x, y, z) =
x² +
y?+ z?
(5, 8, 7)
8
Vf(5, 8, 7) =
138
V138
V138
Find the maximum value of the directional derivative at the given point.
1
Transcribed Image Text:Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y?+ z? (5, 8, 7) 8 Vf(5, 8, 7) = 138 V138 V138 Find the maximum value of the directional derivative at the given point. 1
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