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

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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