Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 + y² 32x + 8y + 16 = 0 horizontal tangents (x, y) = (0, -4 (x, y) = (2,- (x, y) = vertical tangents - (x, y) = 1,0 4 1,8 X X X X ) (smaller y-value) ) (larger y-value) ) (smaller x-value) (larger x-value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Find the points at which the graph of the equation has a vertical or horizontal tangent line.
16x² + y²
32x + 8y + 16 = 0
-
horizontal tangents
vertical tangents
(x, y) = (0,
(x, y) =
(x, y) =
(x, y) =
- 4
2, - 4
1,0
1,8
X
X
(smaller y-value)
(larger y-value)
(smaller x-value)
(larger x-value)
Transcribed Image Text:Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² + y² 32x + 8y + 16 = 0 - horizontal tangents vertical tangents (x, y) = (0, (x, y) = (x, y) = (x, y) = - 4 2, - 4 1,0 1,8 X X (smaller y-value) (larger y-value) (smaller x-value) (larger x-value)
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