Why are these everywhere? #LLAShorts 149

Statement-1: If f(x+y)=f(x)+f(y), then fis either differentiable everywhere or not differentiable everywhere.Statement-2: Any function is either differentiable everywhere or not differentiable everywhere

Which force in nature exits everywhere?

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

If the total charge enclosed by a surface is zero, does it imply that the electric field everywhere on the surface is zero ? Conversely, if the electric field everywhere on a surface is zero, does it imply that net charge inside is zero.

A : Gravitational potential is constant everywhere inside a spherical shell . R : Gravitational field inside a spherical shell is zero everywhere .

A constant and identity function is everywhere continuous.