Leta $f:
\mathbb{C}
\rightarrow
\mathbb{C}
$holomorphic. Can anyone help me show this equality?
$$
\frac{\partial }{\partial \overline{z}}\left[ \log \left( \frac{f\overline{f}%
}{2}\right) \right] =\left( \frac{2}{f\overline{f}}\right) \left( \frac{f%
\overline{f^{\prime }}}{2}\right)
$$