Updates:
Status: Valid
Labels: -Differentiation Type-Enhancement
Comment #1 on issue 3920 by asmeu...@gmail.com: Derivative wrt to the real
or imag part of a complex number
http://code.google.com/p/sympy/issues/detail?id=3920
It returns 0 because diff works symbolically, using those things that are
in the expression, so re(r) is not there, hence, it gives 0. See the
docstring of Derivative.
This requires some thought. We used this definition because that is what
things like F(x, f(x), f'(x)).diff(f'(x)) mean (as opposed to some kind of
chain rule). It may be a good idea to extend _diff_wrt to let it dispatch
on diff. This also goes back to the whole dispatch question again.
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