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differentiate a function of a function

• To: mathgroup at smc.vnet.net
• Subject: [mg75071] differentiate a function of a function
• From: "kem" <kemelmi at gmail.com>
• Date: Mon, 16 Apr 2007 04:13:41 -0400 (EDT)

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

• Follow-Ups:
  • Re: differentiate a function of a function
    • From: anguzman@ing.uchile.cl
  • Re: differentiate a function of a function
    • From: leigh pascoe <leigh@cephb.fr>
  • Re: differentiate a function of a function
    • From: "Chris Chiasson" <chris@chiasson.name>