Let the function f(x) = 2x^3+(2p-7)x^2+3(2p-9)x-6 have a maxima for some value of x

Question

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 is

Accepted Answer

(D)

JEE Main 2023 Mathematics question

Solution