There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{x}{2})e^{1 - \frac{x}{10}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}xe^{\frac{-1}{10}x + 1}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{2}xe^{\frac{-1}{10}x + 1}\right)}{dx}\\=&\frac{1}{2}e^{\frac{-1}{10}x + 1} + \frac{1}{2}xe^{\frac{-1}{10}x + 1}(\frac{-1}{10} + 0)\\=&\frac{e^{\frac{-1}{10}x + 1}}{2} - \frac{xe^{\frac{-1}{10}x + 1}}{20}\\ \end{split}\end{equation} \]

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