Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (2,0) Step 1 Recall that the direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector Vf(a, b). For f(x, y) = sin(xy), we have Vf(x, y) = (0 cos(0).2 cos (0))

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 maximum rate of change of f at the given point and the direction in which it occurs.
f(x, y) = sin(xy), (2,0)
Step 1
Recall that the direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector Vf(a, b). For f(x, y) = sin(xy), we have
Vf(x, y) = (0 cos(0).2 cos(0))
Transcribed Image Text:Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (2,0) Step 1 Recall that the direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector Vf(a, b). For f(x, y) = sin(xy), we have Vf(x, y) = (0 cos(0).2 cos(0))
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