The function depends on the real parameter

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

Problem

The function

f(x)=x^{3}-3kx^{2}

depends on the real parameter

k

. Determine the value of

k

for which

f

has a relative minimum at

x=2

. (a)

k=4

(b)

k=1

(c)

k=\dfrac12

(d)

k=2