There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(3 - e^{-2x})}^{4}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{{-2x}*{4}} - 12e^{{-2x}*{3}} + 54e^{{-2x}*{2}} - 108e^{-2x} + 81\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{{-2x}*{4}} - 12e^{{-2x}*{3}} + 54e^{{-2x}*{2}} - 108e^{-2x} + 81\right)}{dx}\\=&4e^{{-2x}*{3}}e^{-2x}*-2 - 12*3e^{{-2x}*{2}}e^{-2x}*-2 + 54*2e^{-2x}e^{-2x}*-2 - 108e^{-2x}*-2 + 0\\=&-8e^{{-2x}*{4}} + 72e^{{-2x}*{3}} - 216e^{{-2x}*{2}} + 216e^{-2x}\\ \end{split}\end{equation} \]

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