Hi, 

With Sage 6.3, I am getting: 

sage: abs(x).diff(x) 
x/abs(x) 
sage: abs(I*x).diff(x) 
-x/abs(I*x) 

But abs(I*x) == abs(x). So also abs(x).diff(x) and abs(I*x).diff(x) 
must be the same. But in the first case we get x/abs(x), and in the 
second we got -x/abs(x). 

In SymPy, the answer is: 
------///

www.mathHandbook.com show
http://www.mathHandbook.com/input/?guess=d(abs(x))  

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