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Application of Derivatives question

2023 · 25 Jan · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2023 · 25 Jan · Shift 2 · Q30

Application of Derivatives question

2023 · 25 Jan · Shift 2 · Q30

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let the function

f(x) = 2{x^3} + (2p - 7){x^2} + 3(2p - 9)x - 6

have a maxima for some value of

x 0

. Then, the set of all values of p is

A
$\left( { - {9 \over 2},{9 \over 2}} \right)$
B
$\left( {{9 \over 2},\infty } \right)$
C
$\left( {0,{9 \over 2}} \right)$
D
$\left( { - \infty ,{9 \over 2}} \right)$

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