If for a function $f (x), f^{'} (c) > 0$ then at $x = c$ , $f$ is

monotonic decreasing

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monotonic increasing

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not necessarily monotonic

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cosntant

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Solution

The correct option is B monotonic increasing
$f^{'} (x)_{x = c} > 0$ indicates that the slope of the curve at $x = c$ is positive.
This indicates that the function is of increasing trend at $x = c$ .

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