Re: what "REALLY" is derivative?
- From: Bill Dubuque <wgd@xxxxxxxxxxxxxxxxxxxx>
- Date: 14 Dec 2005 01:42:42 -0500
Robert Low <mtx014@xxxxxxxxxxxxxx> writes:
>Watson Ladd wrote:
>> We take a limit of f(a)-f(b)/a-b as a approches b. a-b is a real
>> value, but it becomes zero when taking the limit. Derivatives are
>> nothing more then the limit of (f(a)-f(b))/(a-b) as a approches b.
>> They have nothing to do with geometry.
>
> Or they're the best linear approximation to f(x+h)-f(x), in
> which case they're something to do with linear algebra,
> and tangent planes to surfaces, and all that stuff, which
> I like to think has something to do with geometry.
And, flying off on higher tangents, see "jet spaces".
--Bill Dubuque
.
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