How do u implicitly differentiate (xy)^1/2

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SUMMARY

The discussion centers on the implicit differentiation of the expression (xy)^(1/2). The correct approach involves applying the chain rule, specifically using the formula (1/2)(xy)^(-1/2) multiplied by the derivative of xy with respect to x, which includes dy/dx. Participants clarify that implicit differentiation requires an equation to differentiate, and the initial attempt does not constitute implicit differentiation as no equation is provided.

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Homework Statement



How do u implicitly differentiate (xy)^1/2

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The Attempt at a Solution



Would it be 1/2(xy)^-1/2 multiplied by 1 and dy/dx. Thanks
 
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It looks like you are trying to use the chain rule so you are on the right track. What's d/dx of xy? BTW, so far, this isn't implicit differentiation.
 
what do u mean it isn't implicit differentiation?
 
It's just differentiation. Implicit differentiation is where you take d/dx of an equation and then solve for dy/dx. There's no equation yet. And you haven't answered my question.
 

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