4. Let f : R3 →R be defined by f(r1, x2, r3) = x1 + x2 + x3. If you are located at the point (5, 1, -2), in which direction should you move so that the value off increases as rapidly as possible? In which direction should you move so that the value of f decreases as rapidly as possible? 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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4. Let f : R3 → R be defined by f(x1, x2, x3) = x1 + x2 + x3. If you are located at the
point (5, 1, –2), in which direction should you move so that the value of f increases
as rapidly as possible? In which direction should you move so that the value of f
decreases as rapidly as possible?
1
Transcribed Image Text:4. Let f : R3 → R be defined by f(x1, x2, x3) = x1 + x2 + x3. If you are located at the point (5, 1, –2), in which direction should you move so that the value of f increases as rapidly as possible? In which direction should you move so that the value of f decreases as rapidly as possible? 1
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