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Math Help - [SOLVED] complex dirvative first princple

  1. #1
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    [SOLVED] complex dirvative first princple

    Hi can someone please help me slove the following problem;

    [SOLVED] complex dirvative first princple-untitled.jpg

    by using first princple
    Last edited by nerdo; February 4th 2010 at 01:37 PM.
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  2. #2
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    Just differentiate it like an ordinary function.
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  3. #3
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    Quote Originally Posted by shawsend View Post
    Just differentiate it like an ordinary function.
    I need to show it from first princple, which i am finding it hard 2 do.
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  4. #4
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    You can do the 3z^2 from the definition right? I'll do the other part:

    Let g(z)=i/z

    then:

    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}
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  5. #5
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    THANKS FOR YOUR HELP. i MANAGE TO SOLVE THE PROBLEM AT THE END.
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