Re: what "REALLY" is derivative?

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.




.

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