The function will have a local maximum at and a local minimum at provided that

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

Problem

The function

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

will have a local maximum at

x=-\sqrt{k}

and a local minimum at

x=\sqrt{k}

provided that (a)

k\neq0

(b)

k\ge 0

(c)

k>0

(d)

k<0