9709 P11 - Nov 2023 - Q10
1239
A curve has a stationary point at \(2, -10\) and is such that \(\frac{d^2y}{dx^2} = 6x\).
(a) Find \(\frac{dy}{dx}\).
(b) Find the equation of the curve.
(c) Find the coordinates of the other stationary point and determine its nature.
(d) Find the equation of the tangent to the curve at the point where the curve crosses the y-axis.
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