Consider defined for all real

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

Problem

Consider

f'(x)=x^{4}-4x^{2}

defined for all real

x

. For which of the following sets of

x

-values is every listed point an inflection point of

f

and no other inflection points exist? (a)

\{-2,0,2\}

(b)

\{-\sqrt{2},\sqrt{2}\}

(c)

\{-\sqrt{2},0,\sqrt{2}\}

(d)

\{-2,2\}