2025 SST PRELIMS P1 Q2
2025 SST PRELIMS P1 Q2
Secondary 4
4 marks
The function f is given by \(f(x)=\sin^2 2x\tan 2x\).
- Find \(f'(x)\).[2]
- Explain why f is an increasing function for \(0<x<\dfrac{\pi}{4}\).[2]
Solution:
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Answer:(i) \(f'(x)=4\sin^2 2x+2\sin^2 2x\sec^2 2x\) (ii) \(f'(x)>0\) for \(0<x<\dfrac{\pi}{4}\), so \(f\) is increasing.
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