Sunday, April 21, 2019

real analysis - Functions whose derivative is not continuous on a dense subset

Are there differentiable functions F:(a,b)R, where the set of points at which the derivative of F is discontinuous, is dense in (a,b)?


So far I've only found functions where derivatives are discontinuous only at a finite number of points.

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analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...