Hi can someone please help me slove the following problem;

Attachment 15212

by using first princple

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- Feb 4th 2010, 11:01 AMnerdo[SOLVED] complex dirvative first princple
Hi can someone please help me slove the following problem;

Attachment 15212

by using first princple - Feb 4th 2010, 12:26 PMshawsend
Just differentiate it like an ordinary function.

- Feb 4th 2010, 12:30 PMnerdo
- Feb 4th 2010, 03:08 PMshawsend
You can do the $\displaystyle 3z^2$ from the definition right? I'll do the other part:

Let $\displaystyle g(z)=i/z$

then:

$\displaystyle g'(z)=\lim_{\Delta z\to 0} \frac{\frac{i}{z+\Delta z}-\frac{i}{z}}{\Delta z}=\lim_{\Delta z\to 0}\frac{-i\Delta z}{z(z+\Delta z)\Delta z}=\lim_{\Delta z\to 0} \frac{-i}{z(z+\Delta z)}=-\frac{i}{z^2}$ - Feb 5th 2010, 05:20 AMnerdo
THANKS FOR YOUR HELP. i MANAGE TO SOLVE THE PROBLEM AT THE END.