2025 MSHS PRELIMS P2 Q2

2025 MSHS PRELIMS P2 Q2

Secondary 4
7 marks

The equation of a curve is \(y=\frac{\ln x}{x}\).

  1. Find the coordinates of the stationary point of this curve. Leave your answer in terms of \(e\).[4]
  2. Determine the nature of the stationary point.[3]

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Answer:(a) \(\left(e,\frac{1}{e}\right)\) (b) Maximum point

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