Consider on the interval

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

Problem

Consider

h(x)=x^{4}-4x^{2}+1

on the interval

[-3,0]

. At which value of

x

does

h

attain its absolute minimum on this interval? (a)

x=-2

(b)

x=0

(c)

x=-\sqrt{2}

(d)

x=-\sqrt{\dfrac{2}{3}}