## Complex conjugate of a derivative wrt z

First post!

Is it true that for a complex function f(${z}$,$\overline{z}$)

$\overline{\frac{∂f}{∂z}}$ =$\frac{∂\overline{f}}{∂\overline{z}}$

I think I proved this while trying to solve a problem. If it turns out it's not true and I've made a mistake, I'll upload my 'proof' and have the mistakes pointed out :)

Thanks

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 Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor hi stallm!welcome to pf! but if f(z,z*) = z* then ∂f/∂z = 0

 Quote by tiny-tim hi stallm!welcome to pf! but if f(z,z*) = z* then ∂f/∂z = 0
That would be alright, because f*=z, so ∂(f*)/∂(z*) =0, so the formula works for this function

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## Complex conjugate of a derivative wrt z

 Quote by stallm First post! Is it true that for a complex function f(${z}$,$\overline{z}$) $\overline{\frac{∂f}{∂z}}$ =$\frac{∂\overline{f}}{∂\overline{z}}$ I think I proved this while trying to solve a problem. If it turns out it's not true and I've made a mistake, I'll upload my 'proof' and have the mistakes pointed out :) Thanks