Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the point (-3, –1).

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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Find an equation of the tangent line to the curve
2(x² + y?)² = 25(x² – y²)
25(a? – y)
-
(a lemniscate) at the point (-3, –1).
An eguation of the tangent line to the lemniscate at the given point is
Transcribed Image Text:Find an equation of the tangent line to the curve 2(x² + y?)² = 25(x² – y²) 25(a? – y) - (a lemniscate) at the point (-3, –1). An eguation of the tangent line to the lemniscate at the given point is
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