Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx =) Write the equation for the tangent line where x = 2 and y = 1. Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 47E
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What is the answer to C?

Consider the curve x²y + y²x = 6
A) Find in terms of x and y
dx
B) Write the equation for the tangent line where x = 2 and y = 1.
C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.
here
particle when
Transcribed Image Text:Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1. C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line. here particle when
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