For the family of functions

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

Problem

F_{a}(x)=-x^{3}+3ax

, where

a

is a real constant, at which of the following values of

a

x=a

a location of a relative maximum of

F_{a}

? (a)

a=0

(b)

a=1

(c)

a=-1

(d)

a=2