Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4, 2, 10) V 30 V 30 V 30 Vf(4, 2, 10) = 15 30 Find the maximum value of the directional derivative at the given point. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Find the gradient of the function at the given point.
Function
Point
f(x, у, 2) 3D
x2 + y2 + z2
(4, 2, 10)
V 30
30
V 30
Vf(4, 2, 10) =
15
30
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, у, 2) 3D x2 + y2 + z2 (4, 2, 10) V 30 30 V 30 Vf(4, 2, 10) = 15 30 Find the maximum value of the directional derivative at the given point. 1
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