Re: Re: bug? f'[x]'
- To: mathgroup at smc.vnet.net
- Subject: [mg90935] Re: [mg90914] Re: [mg90894] bug? f'[x]'
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Wed, 30 Jul 2008 03:53:11 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <22482780.1217263035440.JavaMail.root@m08> <200807290539.BAA18274@smc.vnet.net>
- Reply-to: murray at math.umass.edu
Perhaps the actual trouble is that notations like f[x]' are in effect
used all the time in traditional math notation. For example:
(3x^2 + 5x - 8)' = 6x + 5,
(sin x)' = cos x,
(e^x)' = e^x
Go look in just about any beginning calculus book.
No wonder students don't understand calculus and functions when such
clap-trap is taught.
DrMajorBob wrote:
> The right side of both equations is meaningless in Mathematica, so of
> course they are not True.
>
> For a version of the second one, we do have
>
> D[f'[x], x] == f''[x]
>
> True
>
> Bobby
>
> On Mon, 28 Jul 2008 06:53:58 -0500, <Benjamin.R.Lewis at gmail.com> wrote:
>
>> G'day,
>>
>> In[]:= f'[x] =!= f[x]' && f''[x] === f'[x]'
>> Out[]= True
>>
>> Can anyone explain this?
>>
>> -Ben
>>
>>
>
>
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
- References:
- Re: bug? f'[x]'
- From: DrMajorBob <drmajorbob@att.net>
- Re: bug? f'[x]'