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Application of Derivatives question

2025 · 2 Apr · Shift 1 · Q32

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JEE Main
Mathematics
Application of Derivatives
2025 · 2 Apr · Shift 1 · Q32

Application of Derivatives question

2025 · 2 Apr · Shift 1 · Q32

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

If the function

f(x)=2 x^3-9 a x^2+12 \mathrm{a}^2 x+1

, where

\mathrm{a}\gt 0

, attains its local maximum and local minimum values at p and q , respectively, such that

\mathrm{p}^2=\mathrm{q}

, then

f(3)

is equal to :

A
55
B
37
C
10
D
23

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