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

Your problem has not been solved here? Please take a look at the  hot problems ！