I have a function f. What is the difference between the below cases:
- a$\in$ $C^0$[0,1]$\cap$$C^1(0,1]$
- a$\in$ $C^1$[0,1]
I know that $C^0$[0,1] means that the function is continuous. But what is the difference between these two domains?
2026-03-26 19:23:44.1774553024
The difference between two classes of a function
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For the first one, you can not be differentiable at $0$, not for the second. There is a common counterexample given by $$x \mapsto \sqrt{x}$$