1. Consider the curve given by xy² - x³y = 6. dy_3x²y-y² dx 2xy - x³ a. Show that = b. Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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1. Consider the curve given by xy² - x³y = 6.
dy_3x²y-y²
2xy - x³
a. Show that
dx
=
b. Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of
these points.
C. Find the x-coordinate of each point on the curve where the tangent line is vertical.
Transcribed Image Text:1. Consider the curve given by xy² - x³y = 6. dy_3x²y-y² 2xy - x³ a. Show that dx = b. Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points. C. Find the x-coordinate of each point on the curve where the tangent line is vertical.
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