If f(x) = 2cos⁴ x 2sin⁴ x 2 + sin² 2x 3 + 2cos⁴ x 2sin⁴ x sin² 2x… | JEE Main 2024 Mathematics PYQ

MCQEasyJEE Main 2024 · 30 January, Shift 1Determinants Basics

If $f(x) = \begin{vmatrix} 2\cos^4 x & 2\sin^4 x & 2 + \sin^2 2x \\ 3 + 2\cos^4 x & 2\sin^4 x & \sin^2 2x \\ 2\cos^4 x & 3 + 2\sin^4 x & \sin^2 2x \end{vmatrix}$ , then $\frac{1}{5} f'(0)$ is equal to:

A
$0$
B
$1$
C
$2$
D
$6$

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