I already know that there are functions that have no anti-derivative (although I haven't seen a proof), but is there a function with no derivative? and I don't mean something like dirichlet function or floor/ceiling functions. In other words, is there some function that is defined in terms of algebraic operations that have no derivative?
(just for reference I've taken calc I,II,III,linear algebra and am currently in diff eq's)
edit: by algebraeic operations what i really meant is "closed-form expression"