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## Main Question or Discussion Point

Hello,

I have a doubt on how to differentiate a complex function

According to this source (at the very end of the Section, where it says: "...

What's the correct way of performing derivation of a complex function w.r.t. to a complex variable?

I have a doubt on how to differentiate a complex function

*f*:ℂ→ℂ defined as follows: [tex]f(z)=zz^*[/tex] where the***stands for complex conjugation.According to this source (at the very end of the Section, where it says: "...

*As this is a complex value, G*...") the result should be: [tex]\frac{df}{dz}=z^*[/tex] which to me sounds a bit strange (i.e. why on earth should^{*}(f) acts as a constant*z*^{*}be treated as a constant?)What's the correct way of performing derivation of a complex function w.r.t. to a complex variable?