Thursday, November 17, 2016

real analysis - continuous function with precisely one point differentiability

Does there exists a real valued function which is everywhere continuous and differentiable at exactly one point on the real line?

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...