biobiobio Posted March 11, 2011 Report Share Posted March 11, 2011 Just push me in the right direction... Methods, hints...I would have asked about questions like this in the math help centre earlier, if it wasn't full.. -.- Find y'.Could you use implicit differentiation?Thank you! Quote Link to comment Share on other sites More sharing options...

lawcat Posted March 11, 2011 Report Share Posted March 11, 2011 Could you use implicit differentiation?Thank you!Yes Quote Link to comment Share on other sites More sharing options...

Qfwfq Posted March 11, 2011 Report Share Posted March 11, 2011 After a few scribbles, the implicit function theorem is definitely the most straightforward way of doing it. They call it Dini's theorem, for short, here in Dini's land. :D [math]y^3x^2-3y^4+3y-2x=f(x,y)=0[/math] [math]\frac{dy}{dx}=-\frac{\frac{\partial f(x,y)}{\partial x}}{\frac{\partial f(x,y)}{\partial y}}[/math] First, I had even thought of the trick, that in this case it's easy to write the two possible functions [imath]x(y)[/imath] so as to use the inverse rule, but nah, not much use and it would make for more forboding computations anyway. Quote Link to comment Share on other sites More sharing options...

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