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 >