1. Find an equation of the tangent line to the curve at the given point. xy + x²y² = 12, (3,1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Please help with 1,2, and 3. Finding the equation of the tangent line. 

1.
2.
3.
Find an equation of the tangent line to the curve at the given point.
xy + x²y² = 12, (3,1)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in
terms of y and x.)
Find an equation of the tangent line to the curve at the given point.
x² + sin (y) = xy² +25, (5,0)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in
terms of y and x.)
Find an equation of the tangent line to the curve at the given point.
=
(6,36)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in
terms of y and x.)
Transcribed Image Text:1. 2. 3. Find an equation of the tangent line to the curve at the given point. xy + x²y² = 12, (3,1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) Find an equation of the tangent line to the curve at the given point. x² + sin (y) = xy² +25, (5,0) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) Find an equation of the tangent line to the curve at the given point. = (6,36) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)
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