Let be the collection of all functions whose domain is and differentiable on the domain. Also, let be the
collection of all functions whose domain is and continuous on the domain.
I know that I need to prove for any , for some but I dont know how to go about writing the proof. Can anyone help me at least get a start on it? I'm sure I can figure it out with the proper hint.
Also, every example I find online, has equaling some function (i.e. ). In my case, I dont have a specific function so that is why I am stuck and confused.