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Re: bug? f'[x]'

  • To: mathgroup at
  • Subject: [mg90911] Re: [mg90894] bug? f'[x]'
  • From: Andrzej Kozlowski <akoz at>
  • Date: Tue, 29 Jul 2008 01:39:07 -0400 (EDT)
  • References: <>

On 28 Jul 2008, at 13:53, Benjamin.R.Lewis at wrote:

> G'day,
> In[]:= f'[x] =!= f[x]' && f''[x] === f'[x]'
> Out[]= True
> Can anyone explain this?
> -Ben

Maybe not exactly explain... but

this is a consequence of the following somewhat strange phenomenon:

FullForm[Derivative[m + n][f][x]]

but not for m=0:

FullForm= FullForm[Derivative[n][f[x]]]

Note that the first output is actually the (m+n)-th derivative of f at  
x, but the second output means (if anything) something completely  
different (n-th derivative of the functon f[x]).

Although the first result may be part of some design, it is  
mathematically just as meaningless as the second. So I would guess the  
"explanation" of the phenomenon you have observed is of the "garbage  
in -> garbage out" kind.

Andrzej Kozlowski

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