If differentiation of any function is zero at any point and constant at other points then it means?

If differentiation of any function is zero at any point and constant at other points then it means? Correct Answer Function is parallel to x-axis at that point

Since slope of a function is given by dy⁄dx at that point. Hence, when dy⁄dx = 0 means slope of a function is zero i.e, parallel to x axis. Function is not a constant function since it has finite value at other points.

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If differentiation of any function is infinite at any point and constant at other points then it means ___________