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MathGroup Archive 2006

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Re: Derivative of a function with multiple variables

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69488] Re: Derivative of a function with multiple variables
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 14 Sep 2006 06:55:10 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <ee8grk$itd$1@smc.vnet.net>

Hi,

Outer[D, D[f[x, y, z], #] & /@ {x, y, z}, {x, y, 
z}]

???

Regards

  Jens

"Adel Elsabbagh" <aelsabbagh at gmail.com> schrieb im 
Newsbeitrag news:ee8grk$itd$1 at smc.vnet.net...
| Hi all,
|
| I am sure this is easy to many of you
|
| Assume I have f = f[x,y,z]
| I would like to construct a simple function 
g[f[x,y,z]] that will
| generate the Hessian. i.e.
| g[f[x,y,z]]=
| {{Derivative[2,0,0][f][x,y,z], 
Derivative[1,1,0][f][x,y,z],
| Derivative[1,0,1][f][x,y,z]},
| {Derivative[1,1,0][f][x,y,z], 
Derivative[0,2,0][f][x,y,z],
| Derivative[0,1,1][f][x,y,z]},
| {Derivative[1,0,1][f][x,y,z], 
Derivative[0,1,1][f][x,y,z],
| Derivative[0,0,2][f][x,y,z]}}.
|
| Any help?
|
| -- 
| Adel Elsabbagh
| 



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