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From: eurms@apionet.or.jp (M_SHIRAISHI)
Newsgroups: fj.sci.math
Subject: Re: =?ISO-8859-1?Q?Quiz=5F06iv2004=3F=3F=3F=3F?=
Date: 12 May 2004 14:21:35 -0700
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Xref: ccsf.homeunix.org fj.sci.math:1059

<kounoike@mbh.nifty.com> wrote in message news:<c7t8bu$5j9$1@caraway.media.kyoto-u.ac.jp>...
> "Y.N." <yoshiro@mail.wind.ne.jp> wrote in message
> news:c7suhv$fe6$1@nr1.vectant.ne.jp...
> > M> ?f'(x)?lim{?x?0}[{f(x+?x)-f(x)}/?x] ???????? dy??f'(x)
>  ??x
> > M> ?????????dy?f'(x)dx ?????????????????
> >
> > ??????(^^)?
> >
> > ? y?f(x)
> >  ?y?A??x????x ?A ? ?x ??????x?0 ??????0??
> >  ????????
> >   f'(x):?A?dy:?f'(x)?x?
> >
> > ????????????????(^0^)?
> 
> ?????????????????????????
> ??????????????????
> ?y?A??x????x ????????
> ???f''(x)?????????????


Y.N.????????????Cauchy ????? f'(x) ? 
lim{?x?0}?{f(x??x}?f(x)}??x????????
f''(x) ? lim{?x?0}?{f'(x??x}?f'(x)}??x?????
??????????(differential) dy?????? d^2y ?
?????????(limit)????????????????
??????? 

????????dy ? dy??f'(x)??x ?????????
????dy?f'(x)dx ????????????????????
d^2y?f''(x)(dx)^2 ?????????????????
*??????*?????N_Bourbaki ???????????
?????????????

??????dy??f'(x)??x ??*??? --- ??????
? --- ??* ????????????????????


# ???????????? p.51 ???Cauchy??????
???????(?)?d^2y?f''(x)(dx)^2 ????????
??????????????????(???)?