Suppose for all real

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

Problem

Suppose f′′(x)=(x−1)(x+2)f''(x)=(x-1)(x+2) for all real xx. On which of the following intervals is the graph of ff concave down? (a) (−∞,1)(-\infty,1) (b) (−2,1)(-2,1) (c) (−∞,−2)∪(1,∞)(-\infty,-2)\cup(1,\infty) (d) (−∞,−2)(-\infty,-2)

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