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

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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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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