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Homework Statement
Find all the points on the curve [tex]x^{2}y^{2}+xy=2[/tex] where the slope of the tangent line is -1.
The Attempt at a Solution
I differentiated both sides of the equation and got:
[tex]\frac{dy}{dx}=\frac{-2xy^{2}-y}{x^{2}2y+x}[/tex]
I know that [tex]\frac{dy}{dx}=-1[/tex], but if I substitute -1 in, I won't be able to go any further since I have two unknown variables. I would appreciate any help.
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