Is the step function differentiable in its domain?

I answered it and said that the step function is not differentiable in its domain because it is not continuous. For the a function to be differentiable it would need to have a value and a limit. However, the step function has neither of those and thus it is can not be differentiated.

I am not sure if this is this correct?

1 answer

correct. It has to be continuous to be differentiable.
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