Wednesday
April 1, 2015

Homework Help: calculus

Posted by Riley on Thursday, April 2, 2009 at 1:14pm.

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

This is what I got.

x^2y^2+xy=2

x^2*2ydy/dx + 2x*y^2 + x*dy/dx + y =0

dy/dx(2yx^2+x)= -2xy^2-y

dy/dx = (-2xy^2-y)/(x+2yx^2)

how do I finish from here? I need to know where the slop of the tangent line equals -1.

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