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Find the equation of the tangent line to the curve at the given point using implicit differentiation. Cardioid: (x2 + y2 + y)² = x² + y² at (1, 0)

Find the equation of the tangent line to the curve at the given point using implicit differentiation. Cardioid: (x2 + y2 + y)² = x² + y² at (1, 0)

Trigonometry (MindTap Course List)
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 at the given point using implicit differentiation. Cardioid: (x2 + y2+ y)² = x² + y² at (1, 0) y The xy-coordinate plane is given. The curve starts at the point (1, 0), goes up and left becoming less steep, changes direction at the approximate point (0.4, 0.2), goes down and left becoming more steep, passes through the origin, sharply changes direction at the origin, goes up and left becoming less, steep, changes direction at the goes down and left becoming more steep, crosses the x-axis at the point (-1, 0), changes direction at the approximate point (-1.3, -0.7), goes down and right becoming less steep, changes direction at the approximate point (0, -2), goes up and right becoming more steep, changes direction at the approximate point (1.3, -0.7), goes up and left becoming less steep, and stops at the point (1, 0). oproximate point (-0.4, 0.2),
Transcribed Image Text:Find the equation of the tangent line to the curve at the given point using implicit differentiation. Cardioid: (x2 + y2+ y)² = x² + y² at (1, 0) y The xy-coordinate plane is given. The curve starts at the point (1, 0), goes up and left becoming less steep, changes direction at the approximate point (0.4, 0.2), goes down and left becoming more steep, passes through the origin, sharply changes direction at the origin, goes up and left becoming less, steep, changes direction at the goes down and left becoming more steep, crosses the x-axis at the point (-1, 0), changes direction at the approximate point (-1.3, -0.7), goes down and right becoming less steep, changes direction at the approximate point (0, -2), goes up and right becoming more steep, changes direction at the approximate point (1.3, -0.7), goes up and left becoming less steep, and stops at the point (1, 0). oproximate point (-0.4, 0.2),
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