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Re: Derivative

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43758] Re: Derivative
  • From: "extrabyte" <extrabyte22 at libero.it>
  • Date: Fri, 3 Oct 2003 02:28:45 -0400 (EDT)
  • References: <blcqiv$p7d$1@smc.vnet.net> <blgiq3$g61$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Paul Abbott wrote:
> First use the fundamental theorem of calculus: for an arbitrary
> function h[x,y], we have
>
>    D[Integrate[h[x,y],{x,y,Infinity}],y] ==
>      Integrate[Derivative[0, 1][h][x, y], {x, y, Infinity}] - h[y, y]

ok

>
> Now define h,
>
>   h[x_, y_] = Simplify[g[x, y] Sinh[theta[x, y]] Cosh[theta[x, y]]^2];
>
> and compute its derivative with respect to y.
>
>   dhdy[x_, y_] = Simplify[D[h[x,y],y]];

ehm, "Simplify" or "Evaluate"?

please, see http://mynotebook.supereva.it

thx
--
extrabyte


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