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9709 P1 - Nov 2007 - Q8
1089

The equation of a curve is \(y = (2x - 3)^3 - 6x\).

(i) Express \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}\) in terms of \(x\).

(ii) Find the \(x\)-coordinates of the two stationary points and determine the nature of each stationary point.

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