Mathematics Homework Solutions
Problem
#92953

Cauchy-Riemann Equations and Differentiability

Q1(c) (ii) Use the Cauchy-Riemann Equations to show that the function
f (x + iy) = x2 + 4y + y2 + i3xy + i4x is differentiable only at 8i/5.

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Q1(c) (ii) Use the Cauchy-Riemann Equations to show that the function

8i
f ( x + i y ) = x 2 - 4 y + y 2 + i3 xy - i 4 x is differentiable only at .
5

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