2025 IGCSE Additional Mathematics October/November 0606/12 Q9

2025 IGCSE Additional Mathematics October/November 0606/12 Q9

12 marks

A curve \(y=\mathrm f(x)\) is such that \(\mathrm f''(x)=(2x+5)^{-3/2}\).

The curve has gradient \(\dfrac23\) at the point \((2,2)\).

  1. Find the coordinates of the stationary point on the curve.[11]
  2. Determine the nature of this stationary point.[1]

Solution:

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Answer:(a) \((-2,0)\) (b) Minimum.

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