- #1

kelvin490

Gold Member

- 228

- 3

*f*and

_{x}*f*must be continuous functions in order for the primary function

_{y}*f(x,y)*to be defined as differentiable.

However in the case of 1 independent variable, is it possible for a function f(x) to be differentiable throughout an interval R but it's derivative f ' (x) is not continuous?