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

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