Consider the following functions and determine where (if anywhere) they are Complex differentiable:

1. $f:\mathbb{C}\to \mathbb{C}$ given by $f(z)=\overline{z}$ is 1;;nowhere complex differntiable
2. $f:\mathbb{C}\to \mathbb{C}$ given by $f(z)=|z{|}^2$ is 1;;only differentiable at $0$
3. $f:\mathbb{C}\to \mathbb{C}$ given by $f(z)=z^2$ is 1;; differentiable everywhere.