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Re: Re: derivative of a well-behaved function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg99728] Re: [mg99631] Re: derivative of a well-behaved function
*From*: Syd Geraghty <sydgeraghty at me.com>
*Date*: Tue, 12 May 2009 03:10:17 -0400 (EDT)
*References*: <gtrl0i$1mf$1@smc.vnet.net> <200905100912.FAA09609@smc.vnet.net>
Hi Maxim,
I get the following error message evaluating your expression with my
system setup as listed below:
> D[f[g[z]], z, Direction -> z0] ==
> g'[z]*D[f[w], w, Direction -> z0*g'[z]] /. w -> g[z]
and Direction is highlighted in red.
D::optx: Unknown option Direction in D[f[g[z]],z,Direction->z0]. >>
D::optx: Unknown option Direction in D[f[w],w,Direction->z0 (g^\
[Prime])[z]]. >>
D::optx: Unknown option Direction in D[f[g[z]],g[z],Direction->z0 (g^\
[Prime])[z]]. >>
General::stop: Further output of D::optx will be suppressed during
this calculation. >>
In my documentation Direction is listed as an option for Limit[]
Are you running a developer version?
Syd Geraghty B.Sc, M.Sc.
sydgeraghty at mac.com
Mathematica 7.0.1 for Mac OS X x86 (64 - bit) (18th February 2009)
MacOS X V 10.5.6
MacBook Pro 2.33 GHz Intel Core 2 Duo 2GB RAM
On May 10, 2009, at 2:12 AM, m.r at inbox.ru wrote:
> Essentially you want to compute a directional derivative of f[g[z]]
> with g analytic and f non-analytic, where f == Abs and the direction
> vector z0 == 1. Then (making up the notation as we go along)
>
> D[f[g[z]], z, Direction -> z0] ==
> g'[z]*D[f[w], w, Direction -> z0*g'[z]] /. w -> g[z]
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