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Re: Partial derivatives for implicit functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98323] Re: Partial derivatives for implicit functions
  • From: dh <dh at metrohm.com>
  • Date: Mon, 6 Apr 2009 05:00:31 -0400 (EDT)
  • References: <gra1mo$2fg$1@smc.vnet.net>


Hi,

according to the impicite function theorem, we get:

dx/dy= -fy/fx and dx/dz= -fz/fx

Therefore, using D we get:

-D[f[x, y, z], y]/D[f[x, y, z], x]

and

-D[f[x, y, z], z]/D[f[x, y, z], x]

, Daniel



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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