There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x - 1 + \frac{4}{(x - 1)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x + \frac{4}{(x - 1)} - 1\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x + \frac{4}{(x - 1)} - 1\right)}{dx}\\=&1 + 4(\frac{-(1 + 0)}{(x - 1)^{2}}) + 0\\=& - \frac{4}{(x - 1)^{2}} + 1\\ \end{split}\end{equation} \]

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