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

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