Re: Implicit Derivatives

*To*: mathgroup at smc.vnet.net*Subject*: [mg26214] Re: [mg26193] Implicit Derivatives*From*: "Matt Herman" <Henayni at hotmail.com>*Date*: Sat, 2 Dec 2000 02:10:41 -0500 (EST)*References*: <200012010302.WAA11206@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Yes, Here is the procedure for dy/dx, t can be adapted for other variables. f[eq_] := Module[{j = Dt[eq]}, j = j /. Dt[x] -> 1; Solve[j, Dt[y]]] Matt Herman ----- Original Message ----- From: "Tom De Vries" <tdevries at shop.westworld.ca> To: mathgroup at smc.vnet.net Subject: [mg26214] [mg26193] Implicit Derivatives > Hello everyone, > > I am teaching a high school calculus class and we are using Mathematica for > part of the course work. In the book CalcLabs with Mathematica they give > a procedure for finding an Implicit Derivative. Here is an example with a > familiar equation.... > > eq = (3 x y == x^3 + y^3) > > eqNew = eq /. y -> y[x] > > deqNew = D[eqNew, x] > > soln = Solve[deqNew, y'[x]] > > > I am wondering if there are other ways to get a similar result to this. > This method makes sense to me but I wondered if there was a more direct > approach? I could not find any information using the Help feature but > perhaps I was just looking in the wrong places? > > Thanks, > > Tom De Vries > Alberta, Canada > > >