If f ( x ) = | 2 cos 4 x 2 sin 4 x 3 + sin 2 2 x 3 + 2 cos 4 x 2 sin 4 x sin 2 2 x 2 cos 4 x 3 + 2 sin 4 x sin 2 2 x | , then 1 5 f ' ( 0 ) is equal to [2024]

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Solution

Q.
If $f (x)$ $=$ $| \begin{matrix} 2 \cos^{4} x & 2 \sin^{4} x & 3 + \sin^{2} 2 x \\ 3 + 2 \cos^{4} x & 2 \sin^{4} x & \sin^{2} 2 x \\ 2 \cos^{4} x & 3 + 2 \sin^{4} x & \sin^{2} 2 x \end{matrix} |$ , then $\frac{1}{5} f' (0)$ is equal to [2024]

1 1

2 2

3 0

4 6

Ans.
(3)

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