Consider , where is real. Find the set of all real values of for which the function…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider

f(x)=x^{3}-3px+2

, where

p

is real. Find the set of all real values of

p

for which the function has both a local maximum and a local minimum.