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9709 P12 - Nov 2017 - Q8
1065

A curve is such that \(\frac{dy}{dx} = -x^2 + 5x - 4\).

(i) Find the \(x\)-coordinate of each of the stationary points of the curve.

(ii) Obtain an expression for \(\frac{d^2y}{dx^2}\) and hence or otherwise find the nature of each of the stationary points.

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