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    Differentiability and Rational and Irrational Functions

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    4. Let g: R -> R be a function such that for x rational, and for x
    irrational. Is there any f: R->R such that f'(x) = g'(x)? Prove your statement.

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    https://brainmass.com/math/graphs-and-functions/differentiability-rational-irrational-functions-151201

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    Differentiability and Rational and Irrational Functions are investigated.

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