Comment #29 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

OK, that is evidence enough for me. And this would assumedly extend to diff(f(x), x, n).diff(diff(f(x), x, m)) == delta(n, m), where n and m are nonnegative integers.

Maybe we are mixing partial and total derivatives?

This is a good point. So diff should always be a partial derivative? Maybe we need a total_diff() function.

Anyway, it too should be added to the documentation.

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