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The derivative of a continuous nonconstant function - MaRDI portal

The derivative of a continuous nonconstant function (Q1343555)

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scientific article; zbMATH DE number 713800
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The derivative of a continuous nonconstant function
scientific article; zbMATH DE number 713800

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    The derivative of a continuous nonconstant function (English)
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    3 September 1996
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    The authors give an elementary proof for the fact that a continuous function \(f: [a, b]\to \mathbb{R}\) which is differentiable on \([a, b]\) except possibly on a countable set and for which \(f'= 0\) a.e. must be constant.
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    derivative
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    Cantor set
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    continuous function
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