2026 IGCSE Additional Mathematics February/March 0606/12 Q7

2026 IGCSE Additional Mathematics February/March 0606/12 Q7

4 marks

The variables \(x\) and \(y\) are related by \(y=3\sqrt{x}+\dfrac1{\sqrt{x}}\).

Use calculus to find the approximate change in \(y\) when \(x\) increases from \(4\) to \(4+h\), where \(h\) is small.[4]

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Answer:\(\Delta y\approx\dfrac{11h}{16}\)

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