Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By romsek

Thread: Derivative of a complex valued function

  1. #1
    Newbie
    Joined
    Apr 2018
    From
    Hong Kong
    Posts
    7

    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
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    6,542
    Thanks
    2882

    Re: Derivative of a complex valued function

    $i$ is just a constant.

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

    let $c=i$

    $\dfrac{d}{dx} x^i = i x^{i-1}$
    Last edited by romsek; Mar 30th 2019 at 07:34 PM.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative of Vector-Valued Function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Jan 7th 2017, 04:35 AM
  2. Replies: 0
    Last Post: Mar 27th 2012, 02:40 AM
  3. derivative of operator valued function
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: Jun 9th 2011, 12:06 AM
  4. Continuity of a complex-valued function
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: Apr 28th 2011, 09:23 AM
  5. Replies: 3
    Last Post: Apr 29th 2009, 11:17 PM

/mathhelpforum @mathhelpforum