The derivative of a differentiable function is continuous on and takes the values…

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

Problem

The derivative of a differentiable function ff is continuous on (−5,5)(-5,5) and takes the values shown below: xx: −5    −3    0    2    5-5\;\; -3\;\; 0\;\; 2\;\; 5 f′(x)f'(x): 4    0    −2    0    34\;\; 0\;\; -2\;\; 0\;\; 3 Using only these data, indicate every open interval determined by the listed xx–values on which ff is decreasing.

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