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Find the derivative of y\, with respect to x\,: x+xy+x^{2}+xy^{2}=0\,

You could solve this for y\, as it is a quadratic in y\, but it is probably much nicer to differentiate implicitly.


Solving this for y'\, gives

y'={\frac  {-(1+y+2x+y^{2})}{x+2xy}}\,

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