Consider the function. f(x, y) = 3(y + 1)x² Identify the point(s) on the graph of fat which the tangent plane is horizontal. (3,0) (0, y) for all y (0, 3) (x, 0) for all x O (x, 0) for only x ≥ 0

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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Consider the function.
f(x, y) = 3(y + 1)x²
Identify the point(s) on the graph of fat which the tangent plane is horizontal.
(3,0)
(0, y) for all y
(0, 3)
(x, 0) for all x
O (x, 0) for only x ≥ 0
Transcribed Image Text:Consider the function. f(x, y) = 3(y + 1)x² Identify the point(s) on the graph of fat which the tangent plane is horizontal. (3,0) (0, y) for all y (0, 3) (x, 0) for all x O (x, 0) for only x ≥ 0
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