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

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