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algorithm to calculate the derivative

ericj040697
ericj040697 asked
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Last Modified: 2011-09-20
I am looking for an algorithm to calculate the derivative of functions like i=f(v). Do you know if this is somewhere publicly awailable?
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Hi,

There are Mathematics ways to calculate the derivative of GOOD functions.  (like Sin , Cos , tan, log  etc.)
In this way you can calculate the derivative Exactly. ( Here I mean Exactly as Math. Exactly )
For Ex.  Sin(a)` = Cos (a) ,  Cos(a)` = -Sin (a) etc. (There only About 20 Formulas)

But If you have not GOOD (Normal) Function so you can't calculate the derivative Exactly.
And You have only Approximately  Methods.  (From Array of Variables and not from Function )

Physics Ex:

We know velocity of  Car In Each  Second. And we want to Calculate the Acceleration in Each Sec.

Time: (Sec)           0          1         ....i ...        n
Velocity:(M/s)      V(0)   V(1)    ...V(I).. V(n)            (In array V: Element  V(i) it`s Velocity at Sec i )

SR: Sampling Rate ( In Our Example is Each Sec =>  SR = 1 )
The A(i)  - acceleration at momet i (at Sec i ) equal to V` (derivative of V)

A(i) = V` = ( V(i)-V(i-1) ) / SR


I Hope It`s will help you.
                                           



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You're basiscally correct; a better estimation of f'(x), given
f(x) (in any form), is

   (f(x+h)-f(x-h))/(2h)

kind regards,

Jos
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