There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 814.2{(1 - {e}^{(-0.416(x + 2.07))})}^{3.002}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 814.2(-{e}^{(-0.416x - 0.86112)} + 1)^{\frac{1501}{500}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 814.2(-{e}^{(-0.416x - 0.86112)} + 1)^{\frac{1501}{500}}\right)}{dx}\\=&814.2(3.002(-{e}^{(-0.416x - 0.86112)} + 1)^{\frac{1001}{500}}(-({e}^{(-0.416x - 0.86112)}((-0.416 + 0)ln(e) + \frac{(-0.416x - 0.86112)(0)}{(e)})) + 0))\\=&1016.7990144(-{e}^{(-0.416x - 0.86112)} + 1)^{\frac{1001}{500}}{e}^{(-0.416x - 0.86112)}\\ \end{split}\end{equation} \]

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