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Re: Partial derivatives for implicit functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98329] Re: Partial derivatives for implicit functions
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 6 Apr 2009 05:01:36 -0400 (EDT)
  • References: <gra1mo$2fg$1@smc.vnet.net>

Hi,

df = Dt[f[x, y, z]] == 0 /. {Dt[x] -> dx, Dt[y] -> dy, Dt[z] -> dz} ;

(x'[y] == (dx /dy /. Solve[df , dx] // Expand )) /. dz :> z'[y]*dy

?

Regards
   Jens

Srikanth wrote:
> Hi
> I have a function f(x,y,z)=0. I would like to find dx/dy and dx/dz
> (where I am using d for partial derivatives, I'm not sure how to get
> the actual symbol in this edit box), where both would be functions of
> x, y and z. Unfortunately, I cannot get an explicit solution x=g(y,z).
> Any ideas on how I'd go about solving this?
> Thanks
> Srikanth
> 


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