Question

Why continuity defined on closed and differentiation on open interval?

Answer 1

Step-by-step explanation:

As far as differentiable functions on open intervals: If all that is needed is differentiability on the interior of the interval, so much the better. Intuitively, for a real valued function on R to be differentiable, it means that at each point the graph of the function locally looks like a line.

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Answer 2

Answer:

As far as differentiable functions on open intervals: If all that is needed is differentiability on the interior of the interval, so much the better. Intuitively, for a real valued function on R to be differentiable, it means that at each point the graph of the function locally looks like a line