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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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