The function ( ) is required to have exactly one critical point

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

Problem

The function

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

(

k\in\mathbb{R}

) is required to have exactly one critical point. The value of

k

must be (a)

k>0

(b)

k=0

(c)

k<0

(d)

k\neq 0