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When doing implicit differentiation for example: x+2xy-y^2=2 What is the variable y telling us about the function before and after we take the derivative? What does y and dy/dx represent?

When doing implicit differentiation for example:x+2xy-y^2=2
What is the variable y

telling us about the function before and after we take the derivative? What does y and dy/dx represent?

 
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