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Re: Delayed Derivative Operator
*To*: mathgroup at smc.vnet.net
*Subject*: [mg81785] Re: [mg81762] Delayed Derivative Operator
*From*: DrMajorBob <drmajorbob at bigfoot.com>
*Date*: Wed, 3 Oct 2007 06:08:54 -0400 (EDT)
*References*: <17850401.1191395290047.JavaMail.root@m35>
*Reply-to*: drmajorbob at bigfoot.com
For f'[x] to be defined, you first have to define f[x] -- and even then
Mathematica may not "know" what f'[x] should be. These are fine:
f[x_] = x^3;
f'[x]
3 x^2
f[x_] := x^3
f'[x]
3 x^2
Clear[f]
f[x_] := If[x <= 0, x^3, x^-3]
f'[x]
If[x <= 0, 3 x^2, -(3/x^4)]
but this isn't quite so helpful:
Clear[f]
f[x_]/;x<=0:=x^3
f[x_]/;x>0:=x^-3
f'[x]
f'[x]
We take what we can get.
Bobby
On Wed, 03 Oct 2007 01:26:48 -0500, ToddSmith <elliptic1 at gmail.com> wrote:
> Hi,
> I would like to be able to have an equation
>
> eq := D[f[x],x]==5;
>
> And a substitution rule
>
> rule = f[x]->x^3;
>
> And perform the substitution
>
> eq/.rule
>
> And get back the equation 3x^2==5. But Mathematica sees f'[x] and
> doesn't do any substitutions. I tried a delayed assignment for eq but
> it didn't work. What can I do?
>
> -Thanks
>
>
>
--
DrMajorBob at bigfoot.com
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