Problem 4. Use the Cauchy-Riemann equations to show that the following functions fail to be differentiable at all points of ( mathbb{C} ). 1. ( f(x+i y)=e^{x}-i e^{y} ); 2. ( f(z)= bar{z} ); 3. ( f(x+i y)=2 x+i x y^{2} ).

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Problem 4. Use the Cauchy-Riemann equations to show that the following functions fail to be differentiable at all points of  (  mathbb{C}  ). 1.  ( f(x+i y)=e^{x}-i e^{y}  ); 2.  ( f(z)= bar{z}  ); 3.  ( f(x+i y)=2 x+i x y^{2}  ).

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