(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all points on the curve x^2 * y^2 + xy = 2 where the slope of the tangent line is -1.

2. Relevant equations

y' = -1

3. The attempt at a solution

I got the y' = [ -2xy^2 - y ] / [ 2x^(2)y + x ] to be the gradient which I am sure is right.

Then I subbed in y' = -1 and tried to solve for y, where I reached the line -2x^(2)y + 2xy^(2) + y = x. Is there a way to factor out the y?

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# Homework Help: Finding points on curve where tangent line given

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