I am not sure if this is true, but intuitively it seems that if a function is strictly increasing and it is also continuous...it is differentiable.
It may be because there are no bumps like in the absolute value.
I am not sure if this is true, but intuitively it seems that if a function is strictly increasing and it is also continuous...it is differentiable.
It may be because there are no bumps like in the absolute value.