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Example of a monotonic, everywhere differentiable function on $\Bbb{R}$ whose derivative is not continuous. (English)
Am. Math. Mon. 120, No. 6, 566-568 (2013).
Summary: We construct an example of a monotonic function which is differentiable every-where, but the derivative is not continuous. This is done using a nonnegative discontinuous integrable function for which every point is a Lebesgue point.
Classification: I25 I45 I55
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