Updates:
        Status: Fixed

Comment #1 on issue 1549 by [email protected]: substitutions in formal derivatives don't work well
http://code.google.com/p/sympy/issues/detail?id=1549

This works now:

In [10]: h = f(x).subs(x, x**2).diff(x) * (x + 1/x)

In [11]: h
Out[11]:
    ⎛    1⎞ ⎛ d        ⎞│
2⋅x⋅⎜x + ─⎟⋅⎜───(f(ξ₁))⎟│    2
    ⎝    x⎠ ⎝dξ₁       ⎠│ξ₁=x

In [12]: h.subs(f(x**2), 1)
Out[12]:
    ⎛    1⎞ ⎛ d        ⎞│
2⋅x⋅⎜x + ─⎟⋅⎜───(f(ξ₁))⎟│    2
    ⎝    x⎠ ⎝dξ₁       ⎠│ξ₁=x



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