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0606 P13 - Jun 2017 - Q11 - 9 marks
8579

A curve has equation

\(y=6x-x\sqrt{x}.\)

(i) Find the coordinates of the stationary point of the curve.

(ii) Determine the nature of this stationary point.

(iii) Find the approximate change in \(y\) when \(x\) increases from \(4\) to \(4+h\), where \(h\) is small.

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