There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-10000}{(3{x}^{2})} + \frac{1080}{x} - 27x - 100\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{\frac{-10000}{3}}{x^{2}} + \frac{1080}{x} - 27x - 100\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{\frac{-10000}{3}}{x^{2}} + \frac{1080}{x} - 27x - 100\right)}{dx}\\=&\frac{\frac{-10000}{3}*-2}{x^{3}} + \frac{1080*-1}{x^{2}} - 27 + 0\\=&\frac{20000}{3x^{3}} - \frac{1080}{x^{2}} - 27\\ \end{split}\end{equation} \]

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