2025 IGCSE Additional Mathematics May/June 0606/12 Q12

2025 IGCSE Additional Mathematics May/June 0606/12 Q12

6 marks

A curve is such that its gradient at the point \((x,y)\) is given by \((5x-2)^{1/3}\).

The curve passes through the point \(\left(2,\dfrac{32}5\right)\).

Find the coordinates of the stationary point on the curve.[6]

Solution:

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Answer:\(\left(\dfrac25,4\right)\)

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