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Re: can I use some user(self)defined function in Mathematica symbolic computation?

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  • Subject: [mg42455] Re: [mg42436] can I use some user(self)defined function in Mathematica symbolic computation?
  • From: Omega Consulting <info at omegaconsultinggroup.com>
  • Date: Wed, 9 Jul 2003 08:24:29 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

At 02:06 AM 7/7/2003, walala wrote:
>Dear all,
>
>I want to find the 2nd Partial derivative of the function:
>f(x, y)=Integrate[u(t, y), t={-x, x}]
>where u(x, y) is another function, which is actually general and hence
>unknown( I can use sin, cos, etc., ... but what I want is the general
>result for that defferentiation...)
>
>I want Mathematica to compute symbolically f_xx and f_yy of f(x, y), is
>that possible?
>
>Can anybody show me ?
>
>Thanks a lot,
>
>-Walala

Perhaps the following is what you want

f[x_, y_] = Integrate[u[t, y], {t, -x, x}]

D[f[x, y], {x, 2}]

D[f[x, y], {y, 2}]

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