To get straight to the point: If I have a function(adsbygoogle = window.adsbygoogle || []).push({}); f(

x)= 3x^{2}+2ix

Wouldf'(x)= 6x+2i?

More generally, does complex differentiation follow the same rules as normal differentiation? (Ie; power rule, quotient rule, product rule, chain rule etc.)

Thanks!

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# Do functions with complex parts differentiate/integrate like usual?

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