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9709 P12 - Nov 2015 - Q9
1383

The curve \(y = f(x)\) has a stationary point at \((2, 10)\) and it is given that \(f''(x) = \frac{12}{x^3}\).

(i) Find \(f(x)\).

(ii) Find the coordinates of the other stationary point.

(iii) Find the nature of each of the stationary points.

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