Status: Accepted
Owner: asmeurer
Labels: Type-Defect Priority-Medium WrongResult

New issue 2662 by asmeurer: conjugate(x).diff(x) is wrong
http://code.google.com/p/sympy/issues/detail?id=2662

We have

In [5]: conjugate(x).diff(x)
Out[5]: 1

But according to Maple, it should be

diff(conjugate(x), x);
_ x 2 abs(1, x) - --- + ----------- x signum(x)


where abs(1, x) means the first derivative of abs(x) (we use re() to express this).

In theory, this is easy to fix, but I don't know if changing this will break any tests of integrating functions with conjugates, since the integrator relies heavily on the derivative of expressions.

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