(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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

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# Implicit differentiation

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