Find the tangent line to the curve ry = a +y+1 at (3,2)

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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Question 9
Find the tangent line to the curve ry = x + y+ 1 at (3,2)
B IUA
A
E I X x, E E
田-困 次
T 爪12pt
Pa
VX
Transcribed Image Text:Question 9 Find the tangent line to the curve ry = x + y+ 1 at (3,2) B IUA A E I X x, E E 田-困 次 T 爪12pt Pa VX
Expert Solution
Step 1

Given data:

The expression for the given curve is xy=x+y+1.

The given point is (a,b)=(3,2).

Differentiate the given curve with respect to x.

ddxxy=ddxx+y+1xdydx+ydxdx=dxdx+dydx+0xdydx+y=1+dydxdydxx-1=1-ydydx=1-yx-1

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