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 >