general form of a n-derivative

*To*: mathgroup at smc.vnet.net*Subject*: [mg71542] general form of a n-derivative*From*: Wiso <giurrerotipiacerebbe at hotmailtipiacerebbe.itipiacerebbe>*Date*: Wed, 22 Nov 2006 05:22:23 -0500 (EST)*Organization*: TIN.IT (http://www.tin.it)

Hi, I have this function: \!\(f[x_] := Exp[\(-1\)/\((1 - x\^2)\)]\) and these: \!\(f\_n_[x_] := D[f[x], {x, n}]\) the n-derivative. I try to evaluate some of these: \!\(Table[FullSimplify[f\_i[x]], {i, 0, 5}]\ // TableForm\) now I want to infer the general form with Mathematica(I think somethink like: (-1)^(2 n) (Exp[1/(1-x^2)])^(2 n) P(x), where P(x) is a poly in x). Some ideas?

**Follow-Ups**:**Re: general form of a n-derivative***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>