Let the function f(x) = 2x³ + (2p - 7)x² + 3(2p - 9)x - 6 have a maxima for some value of x 0. Then, the set of all values of p is

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Evening shift · Q2676

JEE Main 202325 Jan, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

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

and a minima for some value of

x > 0

. Then, the set of all values of p is