Updates:
        Labels: NeedsReview

Comment #28 on issue 1620 by [email protected]: Allow derivatives of unknown functions evaluated at a point
http://code.google.com/p/sympy/issues/detail?id=1620

I created the pull request:

https://github.com/sympy/sympy/pull/360

The only things still bugging me about this are pretty printing (low priority) and this:

Subs(f(x), x, 0) + Subs(f(x), x, 0)
Subs(f(_x), Tuple(_x), Tuple(0)) + Subs(f(_x), Tuple(_x), Tuple(0))
[not 2*Subs(f(_x), Tuple(_x), Tuple(0))]

I don't know how to get around this. BTW, Lambda also acts this way.

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