Comment #18 on issue 1816 by asmeurer: Adding partial derivatives and taking derivatives with respect to functions
http://code.google.com/p/sympy/issues/detail?id=1816

By the way, the distributional derivative exists for any integrable function, even if it's continuous nowhere. I think this might be what is being done here if you look at variational calculus rigorously. It's hard to tell because a lot of the stuff on variational calculus is written from a physics point of view, which is completely non-rigorous. And the rigorous stuff uses some pretty advanced functional analysis, some of which is beyond what I've learned (it seems that no matter how much you learn in some area of mathematics, you will always be able to find some Wikipedia article that requires even more knowledge about it to understand).

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