9709 P32 - Jun 2022 - Q7
1670
The equation of a curve is \(x^3 + 3x^2y - y^3 = 3\).
(a) Show that \(\frac{dy}{dx} = \frac{x^2 + 2xy}{y^2 - x^2}\).
(b) Find the coordinates of the points on the curve where the tangent is parallel to the x-axis.
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