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Re: Log(ln) Function + 2 Parameters + Greater

  • To: mathgroup at smc.vnet.net
  • Subject: [mg89334] Re: Log(ln) Function + 2 Parameters + Greater
  • From: jerry <jerry45632 at yahoo.com>
  • Date: Fri, 6 Jun 2008 06:46:18 -0400 (EDT)
  • References: <g22tp5$ikl$1@smc.vnet.net> <g237c4$q2n$1@smc.vnet.net> <g25ntv$hug$1@smc.vnet.net> <g27r3a$d64$1@smc.vnet.net>

Thanks to you (and the others) for giving some explanation of this. I've 
just never seen this form before and would have had no idea it existed.

David Park wrote:
> If one considers a to be a 'parameter' and x to be the true 'variable' then 
> the advantage of that form is that it is easy to write derivatives with 
> respect to the variable.
> 
> f[a_][x_] := x (a + Log[x])^2
> 
> Just write the dereivative as:
> 
> f[a]'[x]
> 
> (This definition is stored under SubValues[f].)
> 
> But with the other form:
> 
> Clear[f]
> f[a_, x_] := x (a + Log[x])^2
> 
> You have to write the derivative as one of the two following form:
> 
> D[f[a, x], x]
> Derivative[0, 1][f][a, x]
> 
> 


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