There are 1 questions in this calculation: for each question, the 1 derivative of z is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{z}{(x{(z - 1)}^{2})}\ with\ respect\ to\ z：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{z}{(z - 1)^{2}x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{z}{(z - 1)^{2}x}\right)}{dz}\\=&\frac{(\frac{-2(1 + 0)}{(z - 1)^{3}})z}{x} + \frac{1}{(z - 1)^{2}x}\\=&\frac{-2z}{(z - 1)^{3}x} + \frac{1}{(z - 1)^{2}x}\\ \end{split}\end{equation} \]

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