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Application of Derivatives question

2024 · 27 Jan · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 27 Jan · Shift 2 · Q44

Application of Derivatives question

2024 · 27 Jan · Shift 2 · Q44

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

g(x)=3 f\left(\frac{x}{3}\right)+f(3-x)

and

f^{\prime \prime}(x)\gt 0

for all

x \in(0,3)

. If

g

is decreasing in

(0, \alpha)

and increasing in

(\alpha, 3)

, then

8 \alpha

is :

A
0
B
24
C
18
D
20

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