Let be twice-differentiable for all real numbers with

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

Problem

Let ff be twice-differentiable for all real numbers with f′′(x)=(x−2)(x+1)f''(x)=(x-2)(x+1). On which of the following intervals is ff concave up? (a) (−∞,2)(-\infty,2) (b) (−1,2)(-1,2) (c) (−∞,−1)∪(2,∞)(-\infty,-1)\cup(2,\infty) (d) (2,∞)(2,\infty)

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