Let x = -1 and x = 2 be the critical points of the function f(x)… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Let $x = -1$ and $x = 2$ be the critical points of the function $f(x) = x^3 + ax^2 + b \log|x| + 1$ , where $x \neq 0$ . Let $m$ and $M$ be the absolute minimum and maximum values of $f$ in the interval $\left[-2, -\frac{1}{2}\right]$ . Then, $|M + m|$ is equal to: (Take $\log_e 2 = 0.7$ )

A
$21.1$
B
$19.8$
C
$22.1$
D
$20.9$

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