Question

Can we always find the derivative of a non-continuous function?

Answer 1

if a function is not continuous then it is not differentiable

Answer 2

Thanks guys

Answer 3

but 'non-continuous' and 'not differentiable' are two different things


you can be not differentiable but be continuous.

Answer 4

Well then

\[\text{not continuous} \rightarrow \text{not differentiable}\]

Answer 5

Can anyone mathematically prove it?

Answer 6

http://www-math.mit.edu/~djk/18_01/chapter02/proof04.html