2025 AHS PRELIMS P2 Q5

2025 AHS PRELIMS P2 Q5

Secondary 4
7 marks
  1. Show \( \frac{d}{dx}[\ln(\tan 3x)] = \frac{k}{\sin 6x} \), stating the value of the constant \(k\).[4]
  2. Differentiate \( \ln \sqrt{\frac{7x}{x^2-1}} \) with respect to \(x\).[3]

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Answer:(a) \(k=6\) (b) \(-\frac{x^2+1}{2x(x^2-1)}\)

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