>> FAIL.
> 
> Yes. I didn't see there were 50 responses before I posted that. :-)
> 
>> http://www.wolframalpha.com/input/?i=derivative+of+f[f[x]]
> 
> Apparently so. One of the reasons I hate mathematical notation.

Wolfram at least have come up with a consistent, non-ambiguous notation. 
In their notation, a(b)c unambiguously means the product a*b*c, and 
a[b]c unambiguously means that b is the argument of function a, 
multiplied by c. This is partly how Mathematica is able to determine 
precisely what you meant.

Of course, nobody else uses this notation. And while *Mathematica* 
rigorously follows it, *Alpha* attempts to "guess" what you mean. So in 
the case above, it takes "f(f(x))" and guessees that you maybe mean "f * 
f[x]", which isn't quite right. (This is what happens when computers try 
to guess things...)

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