Let . The abscissae of the local maximum and local minimum of are of opposite signs…

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

Problem

Let

h(x)=x^{3}-3kx^{2}+3(k^{2}-4)x

. The abscissae of the local maximum and local minimum of

h

are of opposite signs when (a)

|k|>2

(b)

k\neq\pm 2

(c)

-2<k<2

(d)

k>2