If f(x) = x³ 2x² + 1 1 + 3x 3x² + 2 2x x³ + 6 x³ - x 4 x² - 2 for… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2024 · 31 January, Shift 1Determinants Basics

If

f(x) = \begin{vmatrix} x^3 & 2x^2 + 1 & 1 + 3x \\ 3x^2 + 2 & 2x & x^3 + 6 \\ x^3 - x & 4 & x^2 - 2 \end{vmatrix}

for all $x \in \mathbb{R}$ , then $2f(0) + f'(0)$ is equal to:

A
$48$
B
$24$
C
$42$
D
$18$

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