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4. Consider the relation 3x +4y² = 2x . You'll recognize this from precalculus as an ellipse. (a) ( ·Use implicit differentiation to find dx

4. Consider the relation 3x +4y² = 2x . You'll recognize this from precalculus as an ellipse. (a) ( ·Use implicit differentiation to find dx

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Question
4. Consider the relation 3x +4y = 2x . You'll recognize this from precalculus as an ellipse. dy (a) (" · Use implicit differentiation to find dx 1 Find the equation of the tangent line to the ellipse at the point 2 1 (b) ( 4 (c) ^. Show the graph of the ellipse and the tangent line (you can use Desmos).
Transcribed Image Text:4. Consider the relation 3x +4y = 2x . You'll recognize this from precalculus as an ellipse. dy (a) (" · Use implicit differentiation to find dx 1 Find the equation of the tangent line to the ellipse at the point 2 1 (b) ( 4 (c) ^. Show the graph of the ellipse and the tangent line (you can use Desmos).
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