Ifx² + xy +y =7, find the value of dy at the point (1,2). %3D dx

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 21E: Find the values of x and y. 3x-2yi=2+x+yi
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Ifx² + xy +y =7, find the value of
dy
at the point (1,2).
%3D
dx
Transcribed Image Text:Ifx² + xy +y =7, find the value of dy at the point (1,2). %3D dx
Expert Solution
Step 1

Consider the equation

Calculus homework question answer, step 1, image 1

 

Step 2

To compute the derivative use product rule of derivative which is stated as:

Calculus homework question answer, step 2, image 1

 

Now Differentiate the equation (1) with respect to 'x'

Calculus homework question answer, step 2, image 2

Calculus homework question answer, step 2, image 3

 

 

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