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Application of Derivatives question

2025 · 8 Apr · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2025 · 8 Apr · Shift 2 · Q44

Application of Derivatives question

2025 · 8 Apr · Shift 2 · Q44

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let the function

f(x) = \frac{x}{3} + \frac{3}{x} + 3, x eq 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\limits_{i=1}^{5} \alpha_i^2

is equal to

A
48
B
40
C
36
D
28

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