Consider the function

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

Problem

f(x)=x^{3}-3x^{2}+1

. At which one of the following

x

-values does

f

attain a local maximum? (a)

x=2

(b)

x=1

(c)

x=0

(d)

x=\sqrt{2}