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Math Help - Using Cauchy Riemann show that these functions are nowhere differentiable

  1. #1
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    Using Cauchy Riemann show that these functions are nowhere differentiable

    im stuck on these 2 problems on my homework for complex variables. the question is, using the cauchy riemann equations show that the following functions are nowhere differentiable. the two functions are f(z)=Re z and f(z)=|z|. Thank you!
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  2. #2
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    Quote Originally Posted by ChrisYee08 View Post
    im stuck on these 2 problems on my homework for complex variables. the question is, using the cauchy riemann equations show that the following functions are nowhere differentiable. the two functions are f(z)=Re z and f(z)=|z|. Thank you!
    Look at it this way:
    f(z)=\text{Re}(z) that means u(x,y)=x~\&~v(x,y)=0.

    Carry on!
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    damn that was a quick reply haha. this is a nice site. what about for the modulus of z?
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    Quote Originally Posted by ChrisYee08 View Post
    damn that was a quick reply haha. this is a nice site. what about for the modulus of z?
    Do something for yourself!
    |z|=\sqrt{x^2+y^2}
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  5. #5
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    yes i got that one actually b4 u relpied lol. ty tho
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