There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - ({\frac{1}{e}}^{2}{\frac{1}{e}}^{x}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x - \frac{{\frac{1}{e}}^{x}}{e^{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x - \frac{{\frac{1}{e}}^{x}}{e^{2}}\right)}{dx}\\=&1 - \frac{({\frac{1}{e}}^{x}((1)ln(\frac{1}{e}) + \frac{(x)(\frac{-0}{e^{2}})}{(\frac{1}{e})}))}{e^{2}} - \frac{{\frac{1}{e}}^{x}*-2*0}{e^{3}}\\=&\frac{{\frac{1}{e}}^{x}}{e^{2}} + 1\\ \end{split}\end{equation} \]

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