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## Homework Statement

If [tex] y= \ln \sqrt{xy}[/tex] , find the value of dy/dx when y=1

## Homework Equations

## The Attempt at a Solution

[tex] \frac{dy}{dx} = \frac{1}{\sqrt{xy}} \cdot \frac{1}{2\sqrt{xy}}\cdot (x\frac{dy}{dx}+y)[/tex]

[tex]\frac{dy}{dx}=\frac{1}{x}[/tex] , when y=1