There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{{(61.1 + x)}^{2}}{20000} + 1)(311 + 2099.468 - \frac{3865x}{330})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 0.000585606060606061x^{3} - 0.0357805303030303x^{2} - 0.0357805303030303x^{2} - 2.18619040151515x + 0.1049734x^{2} + 6.41387474x + 6.41387474x + 0.01555x^{2} + 0.950105x + 0.950105x - 11.7121212121212x + 2860.407162114\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 0.000585606060606061x^{3} - 0.0357805303030303x^{2} - 0.0357805303030303x^{2} - 2.18619040151515x + 0.1049734x^{2} + 6.41387474x + 6.41387474x + 0.01555x^{2} + 0.950105x + 0.950105x - 11.7121212121212x + 2860.407162114\right)}{dx}\\=& - 0.000585606060606061*3x^{2} - 0.0357805303030303*2x - 0.0357805303030303*2x - 2.18619040151515 + 0.1049734*2x + 6.41387474 + 6.41387474 + 0.01555*2x + 0.950105 + 0.950105 - 11.7121212121212 + 0\\=& - 0.00175681818181818x^{2} - 0.0715610606060606x - 0.0715610606060606x + 0.2099468x + 0.0311x + 0.829647866363636\\ \end{split}\end{equation} \]

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