Let the function f(x) = x/3 + 3/x + 3, x ≠ 0, be strictly increas… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 8 April, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Let the function $f(x) = \frac{x}{3} + \frac{3}{x} + 3$ , $x \neq 0$ , be strictly increasing in $(-\infty, \alpha_1) \cup (\alpha_2, \infty)$ and strictly decreasing in $(\alpha_3, \alpha_4) \cup (\alpha_4, \alpha_5)$ . Then $\sum_{i=1}^{5} \alpha_i^2$ is equal to:

A
$36$
B
$28$
C
$48$
D
$40$

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