Is the step function differentiable in its domain?

Question

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?

Answer 1

correct. It has to be continuous to be differentiable.