The derivative of a twice-differentiable function is decreasing on and increasing on

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

Problem

The derivative of a twice-differentiable function hh is decreasing on (0,3)(0,3) and increasing on (3,7)(3,7). Determine the interval(s) on which hh is concave down and state whether x=3x=3 is a point of inflection for hh.

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