Consider , where is a real parameter. For which values of does correspond to a local…

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

Problem

Consider

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

, where

k

is a real parameter. For which values of

k

does

x=0

correspond to a local maximum of

f

? (a)

k<0

(b)

k>0

(c)

k=0

(d)

k\ge 0