Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) 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 the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² − y²) at
the point (3, -1).
The equation of this tangent line can be written in the form y = mx + b
where m is:
and where b is:
Transcribed Image Text:- Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² − y²) at the point (3, -1). The equation of this tangent line can be written in the form y = mx + b where m is: and where b is:
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