Let the function f(x) = 2x^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

Let the function f(x) = 2x^3 + (2p-7)x^2 + 3(2p-9)x - 6… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 2

Let the function

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

have a maxima for some value of

x < 0

and a minima for some value of

x > 0

. Then, the set of all values of

p

Show answer

Correct option: C

[JEE Main 2023 · 25 Jan · Shift 2]

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