For each of the following functions, First compute the gradient function, and plot it at several points. Then, using your graph, match the function with the plot of its gradient. Click on a graph to make it larger. ? 1. f(x, y) = 2xy ? ? ? 2. f(x, y) = 3x - 5y 3. f(x, y) = x² - y² 4. f(x, y) = x² + y²

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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For each of the following functions,
First compute the gradient function, and plot it at several points.
Then, using your graph, match the function with the plot of its
gradient.
Click on a graph to make it larger.
?
?
?
?
►
1. f(x, y) = 2xy
2. f(x, y)
3x - 5y
3. f(x, y) = x² - y²
4. f(x, y)
x² + y²
=
=
-2
-2
-1
-1
A
0
0
x
1
1
-2
2
-2
-2
-1
-1
B
D
0
0
1
2
2
Transcribed Image Text:For each of the following functions, First compute the gradient function, and plot it at several points. Then, using your graph, match the function with the plot of its gradient. Click on a graph to make it larger. ? ? ? ? ► 1. f(x, y) = 2xy 2. f(x, y) 3x - 5y 3. f(x, y) = x² - y² 4. f(x, y) x² + y² = = -2 -2 -1 -1 A 0 0 x 1 1 -2 2 -2 -2 -1 -1 B D 0 0 1 2 2
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