Question

What does a function that is differentiable at a point, but is not continuous at that point looks like?

Answer 1

This is an oxymoron, a function must be continuous at a point to be differentiated

Answer 2

That is what I have in mind as well, the answer is impossible.

Answer 3

in order to be differentiable, the function must already be proven continuous. so if it isn't continuous, it won't be differentiable.