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Symbolical derivative - is it a bug?

Is it a bug or is there any reasonable explanation for this effect?

I am aware of the different ways that third root of x and x^(1/3) are implemented for negative arguments

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and those negative values sure are the reason for the error because all works OK when I "assume, x>0". Nevertheless I don't clearly see a reason why the symbolical evaluation after der derivative should make the numerics fail.

 

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