Results 1 to 3 of 3

Math Help - Derivative of Complex Function

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    168

    Derivative of Complex Function

    Determine where f'(z) exists and find its value when
    f(z)=x^2+iy^2

    My book gives NO explanation of how to find derivatives when the function f(z) isn't given in terms of z, as it is here. How do you solve these?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Aug 2008
    Posts
    903
    Hi. But x=\frac{z+\overline{z}}{2} and y=\frac{z-\overline{z}}{2i} right? How about just using the chain rule then to compute \frac{\partial f}{\partial z}?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,616
    Thanks
    1579
    Awards
    1
    Quote Originally Posted by paupsers View Post
    Determine where f'(z) exists and find its value when f(z)=x^2+iy^2
    Here is the link you need.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative of Complex Function
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: December 26th 2011, 10:52 AM
  2. Replies: 4
    Last Post: October 5th 2011, 03:06 PM
  3. Derivative of complex function using definition
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 9th 2011, 04:55 AM
  4. Replies: 5
    Last Post: October 14th 2010, 04:30 AM
  5. Replies: 1
    Last Post: March 3rd 2008, 07:17 AM

Search Tags


/mathhelpforum @mathhelpforum