There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 8 - 4{e}^{(-10000x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 4{e}^{(-10000x)} + 8\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 4{e}^{(-10000x)} + 8\right)}{dx}\\=& - 4({e}^{(-10000x)}((-10000)ln(e) + \frac{(-10000x)(0)}{(e)})) + 0\\=&40000{e}^{(-10000x)}\\ \end{split}\end{equation} \]

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