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

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