The derivative of a twice-differentiable function is

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The derivative of a twice-differentiable function ff is f′(x)=12x2−24xf'(x)=12x^{2}-24x. Let FF be an antiderivative of ff with F(0)=0F(0)=0. On which interval is FF concave down? (a) (−∞,0)∪(2,∞)(-\infty,0)\cup(2,\infty) (b) (0,2)(0,2) (c) (−∞,0)(-\infty,0) (d) (−∞,2)(-\infty,2)

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