(a) If x² + y? = 2x²y² , find y' in terms of both x and y. (b) Below is a graph of x2 + y? = 2x? y. Use your answer from part (a) to find an equation of the tangent line to this curve at the point (1,1). (If you could not solve part (a), guess a value of the slope for this part by looking at the picture.

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.
icon
Related questions
Question
(a) If x + y? = 2x²y² , find y' in terms of both x and y.
(b) Below is a graph of x + y? = 2x² y². Use your answer from part (a) to find an equation of
the tangent line to this curve at the point (1,1). (If you could not solve part (a), guess a
value of the slope for this part by looking at the picture.
Transcribed Image Text:(a) If x + y? = 2x²y² , find y' in terms of both x and y. (b) Below is a graph of x + y? = 2x² y². Use your answer from part (a) to find an equation of the tangent line to this curve at the point (1,1). (If you could not solve part (a), guess a value of the slope for this part by looking at the picture.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning