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

Question

It is given that $\mathrm{f}'(x) = 6\cos 3x - 12\sin 3x$ and $\mathrm{f}\left(\frac{\pi}{3}\right) = 0$. Find $\mathrm{f}(x)$.[4] Find the exact value of $\mathrm{f}''\left(\frac{\pi}{12}\right)$.[2]

Accepted Answer

(a) $\mathrm{f}(x)=2\sin3x+4\cos3x+4$ (b) $-27\sqrt2$

2025 PHS P2 Q3

2025 PHS P2 Q3

Solution:

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