Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z2 (5, 4, 8) Vf(5, 4, 8) Find the maximum value of the directional derivative at the given point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Find the gradient of the function at the given point.
Function
Point
f(x, y, z) = Vx2 + y² + z?
(5, 4, 8)
Vf(5, 4, 8)
Find the maximum value of the directional derivative at the given point.
Transcribed Image Text:Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y² + z? (5, 4, 8) Vf(5, 4, 8) Find the maximum value of the directional derivative at the given point.
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