Consider on the closed interval

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

Problem

Consider

h(x)=x^{3}-6x^{2}+9x+2

on the closed interval

[0,5]

. At which

x

-value(s) does

h

attain its absolute minimum on this interval? (a)

x=3\text{ only}

(b)

x=1\text{ and }x=3

(c)

x=0\text{ and }x=3

(d)

x=0\text{ only}