# Thread: Derivative of a complex valued function

1. ## Derivative of a complex valued function

Is there anyone who can show me in detail the steps in getting d[xi]/dx, where x is real and i=sqrt(-1). Would the result be different for x>0 and x<0

Thank you very much

2. ## Re: Derivative of a complex valued function

$i$ is just a constant.

$\dfrac{d}{dx} x^c = c x^{c-1}$

let $c=i$

$\dfrac{d}{dx} x^i = i x^{i-1}$