For the cubic polynomial (where )

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the cubic polynomial

f(x)=x^{3}-3p x+q

(where

p,q\in\mathbb{R}

x=1

must be a point of local minimum and

x=-1

a point of local maximum. Which of the following values of

p

satisfies these conditions? (a)

2

(b)

1

(c)

-1

(d)

0