Does the i Part Affect the Derivative of a Complex Number Function?

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wakko101
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If I have a function y = if(x), where f(x) is a real valued function, would its derivative be y'=if'(x)...or does something different have to happen with the i part?

cheers,
W.
 
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i is a constant, isn't it?
 
that's what I thought, but I like to double check these things... =)