f is the function :

and :

Calculate :

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- December 13th 2009, 10:14 PMSADANE ANTARCalculate : f'(0)
f is the function :

and :

Calculate : - December 14th 2009, 04:42 AMCaptainBlack
- December 14th 2009, 04:59 AMchisigma
According to ...

Derivative -- from Wolfram MathWorld

... the 'more symmetrical' notation of the derivative is...

... in any case congratulations for Your elegant procedure! (Clapping) ...

http://digilander.libero.it/luposabatini/notte1.jpg

Merry Christmas from Italy

- December 14th 2009, 06:45 AMCaptainBlack
- December 14th 2009, 06:59 AMchisigma
If we accept the 'more symmetrical' notation of the derivative...

(1)

...do we also have to accept that for a function like is ?... or not? (Thinking) ...

http://digilander.libero.it/luposabatini/notte1.jpg

Merry Christmas from Italy

- December 14th 2009, 01:08 PMCaptainBlack
implies that the derivative exists at , which excludes the posibility of something like . Also this can be done with the derivative from the right being at (as implied in my comment about an earlier version using an asymmetric form for the difference quotient).

CB