Mathematics · 2024
JEE Main · 30 January 2024, Shift 1 · Q4
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:
If $\displaystyle f(x)=\left|\begin{array}{ccc}2 \cos ^4 x & 2 \sin ^4 x & 3+\sin ^2 2 x \\ 3+2 \cos ^4 x & 2 \sin ^4 x & \sin ^2 2 x \\ 2 \cos ^4 x & 3+2 \sin ^4 x & \sin ^2 2 x\end{array}\right|$,
then $\displaystyle \frac{1}{5} f^{\prime}(0)=$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 0$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.