If f(x, y) = xy, find the gradient vector Vf(3, 7) and use it to find the tangent line to the level curve f(x, y) = 21 at the point (3,7). gradient vector tangent line equation × Sketch the level curve, the tangent line, and the gradient vector. 14 12 10 8 6 4 2 y 5 10 15 20 X y 15 10 5 -5 5 10 15 20 20
If f(x, y) = xy, find the gradient vector Vf(3, 7) and use it to find the tangent line to the level curve f(x, y) = 21 at the point (3,7). gradient vector tangent line equation × Sketch the level curve, the tangent line, and the gradient vector. 14 12 10 8 6 4 2 y 5 10 15 20 X y 15 10 5 -5 5 10 15 20 20
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Transcribed Image Text:If f(x, y) = xy, find the gradient vector Vf(3, 7) and use it to find the tangent line to the level curve f(x, y) = 21 at the
point (3,7).
gradient vector
tangent line equation
×
Sketch the level curve, the tangent line, and the gradient vector.
14
12
10
8
6
4
2
y
5
10
15
20
X
y
15
10
5
-5
5
10
15
20
20
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