For a positive constant

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

Problem

k

, consider

h_k(x)=x^{2}-4kx

on the interval

[0,4]

. For which values of

k

does

h_k

attain its absolute maximum at

x=4

? (a)

k>2

(b)

1<k<2

(c)

0<k\le 1

(d)

0<k<2