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

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Homework Help Overview

The discussion revolves around the implicit differentiation of the expression (xy)^(1/2). Participants are exploring the concept of implicit differentiation in the context of calculus.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the chain rule to differentiate the expression, while others question whether the approach constitutes implicit differentiation, noting the absence of an equation.

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engineer_dave
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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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