Consider the function

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

Problem

f(x)=x^{4}-4x^{3}

. For which values of

x

is the graph of

f

both decreasing and concave up? (a)

(0,2)

(b)

(-\infty,0)\cup(3,\infty)

(c)

(-\infty,0)\cup(2,3)

(d)

(2,\infty)