Sunday, November 18, 2018

real analysis - Looking for differentiable function $f:mathbb R to mathbb R$ whose derivative is nowhere continuous

Does there exist a differentiable function $f: \mathbb R \to \mathbb R$ such that its derivative $f'$ is nowhere continuous ?

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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...