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MathGroup Archive 2007

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Re: differentiate a function of a function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75090] Re: [mg75071] differentiate a function of a function
  • From: "Chris Chiasson" <chris at chiasson.name>
  • Date: Mon, 16 Apr 2007 20:17:36 -0400 (EDT)
  • References: <200704160813.EAA09826@smc.vnet.net>

f[x_, y_] = Tan[t[x, y] + a[x, y]]
D[f[x, y], x]*Fold[D, f[x, y], {x, y}] == 8 // Simplify


??


On 4/16/07, kem <kemelmi at gmail.com> wrote:
> Hi,
>
> I was wondering how do I define a function in mathematica to be able
> to differentiate it etc, where some of the parameters of this function
> should be also a function. For example I want to be able to do the
> following operations:
>
> 1) to say that f is a function: f(x,y) = Tan[t(x,y)+a(x,y)]
>
> 2) take D[f,x] , such that also t(x,y) and a(x,y) will be also
> differentiated
>
> 3) be able to substitute these into some equation like: f_x f_xy = 8
>
> Thanks a lot
>
> kem
>
>
>


-- 
http://chris.chiasson.name/


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