Find all vertical tangent lines of a curve - more than one variable

[mwilks]

find all vertical tangent lines of a curve - more than one variable!

curve : xy^2 - x^3y = 6
derivative : (3x^2y - y^2) / (2xy - x^3)
question : find the x coordinate of each point on the curve where the tangent line is vertical.

after some consideration, i decided that when the derivative equation is underfined, the tangent line is vertical. so, 2xy-x^3=0. was that right? now what?

 

[ystael]

How did you arrive at that "derivative"?

 

[Inferior89]

Look up implicit differentiation in your course book. Seems you tried to do it but made some error on the way. Try showing your steps to us.