Question

Where on the curve x^2 - 2xy + y^3 = 1 is the slope of the curve vertical?

Answer 1

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Answer 2

Take a derivative. Find where it is undefined.

Answer 3

2x -2 (x dy/dx +y ) +3y^2 dy/dx = 0

2x -2x dy/dx -2y +3y^2 dy/dx =0

Answer 4

\[\frac{dy}{dx} = \frac{2y-2x}{3y^2-2x}\]

Answer 5

if you set the denominator equal to zero you will get a sideways parabola