Let be twice differentiable with and

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let ff be twice differentiable with f′(x)=x2−4f'(x)=x^{2}-4 and f′′(x)=2xf''(x)=2x. Which of the following intervals consists entirely of points where ff is increasing and concave down? (a) (2,∞)(2,\infty) (b) (−2,0)(-2,0) (c) (−∞,−2)(-\infty,-2) (d) (−∞,−2)(-\infty,-\sqrt{2})

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