2025 PHS PRELIMS P2 Q3

2025 PHS PRELIMS P2 Q3

Secondary 4
6 marks
2025 Presbyterian High School Prelims A Math Paper 2

It is given that \( f'(x)=6\cos 3x-12\sin 3x \) and \( f\left(\frac{\pi}{3}\right)=0 \).

  1. Find \( f(x) \).[4]
  2. Find the exact value of \( f''\left(\frac{\pi}{12}\right) \).[2]

Solution:

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Answer:(a) \(f(x)=2\sin 3x+4\cos 3x+4\) (b) \(-27\sqrt2\)

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