Mathematics · 2024
JEE Main · 31 January 2024, Shift 1 · Q3
If f(x)= |x^3, 2 x^2+1, 1+3 x; 3 x^2+2, 2 x, x^3+6; x^3-x, 4, x^2-2| for all x ∈ R, then 2 f(0)+f^′(0) is equal to
If $\displaystyle f(x)=\left|\begin{array}{ccc}x^3 & 2 x^2+1 & 1+3 x \\ 3 x^2+2 & 2 x & x^3+6 \\ x^3-x & 4 & x^2-2\end{array}\right|$ for all $\displaystyle x \in \mathbb{R}$, then $\displaystyle 2 f(0)+f^{\prime}(0)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 42$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.