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MathGroup Archive 2006

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Derivative of a function with multiple variables

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69467] Derivative of a function with multiple variables
  • From: "Adel Elsabbagh" <aelsabbagh at gmail.com>
  • Date: Wed, 13 Sep 2006 04:02:35 -0400 (EDT)

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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