Question: Consider f: C{0} C by (2) == / (a) Writing z = x+iy find the real and imaginary u: R{(0,0)} R and v R{(0,0}

$Consider f: C\{0} C by (2) == / (a) Writing z =$

Consider f: C\{0} C by (2) == / (a) Writing z = x+iy find the real and imaginary u: R\{(0,0)} R and v R\{(0,0} R parts of f. (b) Compute the partial derivatives: du du dv v and 1 ' (c) Compute the second homogeneous partial derivatives: Pu Pu v and r y r dy

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