There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{(-100t)}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{(-100t)}\right)}{dt}\\=&({e}^{(-100t)}((-100)ln(e) + \frac{(-100t)(0)}{(e)}))\\=&-100{e}^{(-100t)}\\ \end{split}\end{equation} \]

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