2025 IGCSE 0580 May/June P21 Q22

2025 IGCSE 0580 May/June P21 Q22

6 marks

A curve has equation \(y=x^n+qx^2+9x\).

\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=3x^2-12x+9\)

  1. Find the value of \(n\), and the value of \(q\).[2]
  2. Work out the coordinates of the turning points of the curve.[4]

Solution:

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Answer:(a) \(n=3,\ q=-6\). (b) \((1,4)\) and \((3,0)\).

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