Status: New
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 1658 by renato.c...@gmail.com: [PATCH] derivatives of complex
functions re, im, abs and arg don't evaluate correctly
http://code.google.com/p/sympy/issues/detail?id=1658
In [1]: Derivative(re(f(x)), x, **{'evaluate': True})
Out[1]: D(f(x), x)*D(re(f(x)), f(x))
In [2]: Derivative(im(f(x)), x, **{'evaluate': True})
Out[2]: D(f(x), x)*D(im(f(x)), f(x))
In [3]: Derivative(arg(f(x)), x, **{'evaluate': True})
Out[3]: D(arg(f(x)), f(x))*D(f(x), x)
In [4]: Derivative(arg(f(x)), x, **{'evaluate': True})
Out[4]: D(arg(f(x)), f(x))*D(f(x), x)
Including tests for these, also corrected this one:
assert abs(x).diff(x) == sign(x)
which is true only if x is real.
Attachments:
0001-Fixes-issue-1658-derivatives-of-re-im-abs-and-arg-ar.patch 4.0 KB
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