Consider on the interval

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

Problem

Consider

p(x)=|x-3|+\dfrac{9}{x}

on the interval

[1,6]

. At what value of

x

does

p

attain its absolute minimum on this interval? (a)

x=6

(b) No absolute minimum on

[1,6]

(c)

x=3

(d)

x=1