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9709 P13 - Nov 2010 - Q5
1086

A curve has equation \(y = \frac{1}{x-3} + x\).

(i) Find \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}\).

(ii) Find the coordinates of the maximum point \(A\) and the minimum point \(B\) on the curve.

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