If $f(x)=\left|\begin{array}{ccc}x^3 & 2 x^2+1 & 1+3 x \ 3 x^2+2 & 2 x & x^3+6 \ x^3-x & 4 & x^2-2\end{array}\right|$ for all $x \in R$, then $2 f(0)+f^{\prime}(0)$ is equal to [JEE Main 2024, 31 Jan (Shift 2)]

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If \(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 & …

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If \(f(x)=\left|\begin{array}{ccc}x^3 &amp; 2 x^2+1 &amp; 1+3 x \\ 3 x^2+2 &amp; 2 x &amp; x^3+6 \\ x^3-x &amp; 4 &amp; …

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If \(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 & …