The C0 function 1=f(x) = x for x ≥ 0 and 0 otherwise. A function is smooth if all of its derivatives are continuous. The function shown to the right is continuous but its first derivative is discontinuous at x=0. This calculus-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it. Retrieved from "https://math.wikia.org/wiki/Smooth_function?oldid=23522" Categories: Calculus stubs Calculus Community content is available under CC-BY-SA unless otherwise noted.