1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Complex Derivative

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data
    f(z) = xy + i(xy+x)

    has a derivative at exactly one point after locating the point find the derivative there and give the numerical value is the function analytic at this point?


    2. Relevant equations

    My C-R equations are du/dx = y, dv/dy = x, dv/dx = y+1, du/dy = x

    3. The attempt at a solution
    i dont really know how to interpret the C-R equations.
    answer is z = -1/2 - i/2 f ' = -1/2 + i/2 and not analytic
     
  2. jcsd
  3. Sep 30, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    CR actually means a relation satisfied by the partial derviatives for a complex function to be analytic (holomorphic)

    you have only given the partial derivatives, do you know the CR equations?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...