Respuesta :

The value of dy/dx is equivalent to 3

Implicit differentiation

Functions are written in terms of dependent and independent variables. Given the following function below;

x + xy = 2y

Differentiate the function implicitly

1+(x dy/dx+y) = 2dy/dx

Expand

1+x dy/dx + y - 2dy/dx = 0

(x-2)dy/dx = -1-y

dy/dx = (1+y)/(x-2)

The value of the function at the coordinate point (3, 2) is expressed as;

dy/dx = (1+2)/(3-2)

dy/dx = 3/1

Hence the value of dy/dx is equivalent to 3

Learn more on implicit differentiation here; https://brainly.com/question/25081524

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