There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-800}{({x}^{2} + 5x + 40)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-800}{(x^{2} + 5x + 40)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-800}{(x^{2} + 5x + 40)}\right)}{dx}\\=&-800(\frac{-(2x + 5 + 0)}{(x^{2} + 5x + 40)^{2}})\\=&\frac{1600x}{(x^{2} + 5x + 40)^{2}} + \frac{4000}{(x^{2} + 5x + 40)^{2}}\\ \end{split}\end{equation} \]

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