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Simple Differentiation?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg46014] Simple Differentiation?
*From*: "Sunil Pinnamaneni" <pinnama at cims.nyu.edu>
*Date*: Mon, 2 Feb 2004 05:21:28 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
In Mathematica 5.0, if one types in:
f[x_]+g[x_]^:=1 (1)
and then types
dx(f[x]+g[x])
we get 0.
However, if we type dx(f[x]) + dx(g[x]) after typing (1), we get
f'[x] + g'[x].
Mathematica doesn't recognize that f'[x]+g'[x]=
dx(f[x]+g[x]), which equals 0. How does one get Mathematica to do this?
I'm interested in more complicated examples, which involve more complex
differential relations, but I should be able to do things in those
situations given a nice, natural way of handling this toy case. Though this
seems like a pretty simple thing, I wasn't able to find any thing in the
Mathematica Book or elsewhere, which would help with this type of things.
Thanks,
Sunil
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