2024 IGCSE Additional Mathematics February/March 0606/22 Q5

2024 IGCSE Additional Mathematics February/March 0606/22 Q5

4 marks

Variables \(x\) and \(y\) are related by the equation \(y=\dfrac{x}{\ln3x}\). Use differentiation to find the approximate change in \(y\) when \(x\) increases from \(1\) to \(1+h\), where \(h\) is small.[4]

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Answer:Approximate change \(\dfrac{(\ln3-1)h}{(\ln3)^2}\approx0.0817h\).

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