Comment #24 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
Rather than Eval(f(x), x, x0), can't you use Eval(Lambda(x, f(x)), x0)? That way, you wouldn't have to duplicate the logic of Lambda (handling of free_symbls, dummification of variables, etc.) and it could be reused easily if we create more types of function objects.
About the name: if you follow my suggestion, Eval becomes very similar to AppliedPredicate, so their names should be similar as well ('AppliedPredicate' can be changed).
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