Question

at what point on the curve x^3-y^2+x^2=0 is the tangent line vertical?

Answer 1

a vertical tangent line has an undefined or infinite slope
so the derivative of the curve at that point must be undefined

Answer 2

yes I understand that so would it be at x= -1 and y=0?

Answer 3

yes the point (-1,0) is correct

Answer 4

thanks!!!