For a twice-differentiable function

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For a twice-differentiable function gg, it is known that g′′(x)>0g''(x)>0 on (−3,1)(-3,1) and (2,∞)(2,\infty), while g′′(x)<0g''(x)<0 on (1,2)(1,2). Describe the concavity of gg on these intervals and list all xx-values that are candidates for points of inflection.

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