48. x* - xy + y = 1; (-1, 1) yA P

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 28E
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Question

 Normal lines A normal line at a point P on a curve passes
through P and is perpendicular to the line tangent to the curve at P
. Use the following equations and graphs to determine an
equation of the normal line at the given point. Illustrate your work by
graphing the curve with the normal line

48. x* - xy + y = 1; (-1, 1)
Transcribed Image Text:48. x* - xy + y = 1; (-1, 1)
yA
P
Transcribed Image Text:yA P
Expert Solution
Step 1

Consider the equation and the point for which the equation of the normal is to be calculated. Find the derivative for the equation y’.

Calculus homework question answer, step 1, image 1

Step 2

Now, calculate the slope at the given point (-1,1).

Calculus homework question answer, step 2, image 1

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