(i)[4]
Show that, after differentiating, $\frac{dy}{dx} = \frac{x^2 - 2xy}{x^2 - y^2}$.
(ii)[5]
Identify the coordinates of the points on the curve where the tangent is parallel to the $x$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve has equation $x^3 - 3x^2y + y^3 = 3$.