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

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