There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -53.183ln(x) + 13.987{(ln(x))}^{2} - 1.175{(ln(x))}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 1.175ln(x)ln(x)ln(x) + 13.987ln(x)ln(x) - 53.183ln(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 1.175ln(x)ln(x)ln(x) + 13.987ln(x)ln(x) - 53.183ln(x)\right)}{dx}\\=& - \frac{1.175ln(x)ln(x)}{(x)} - \frac{1.175ln(x)ln(x)}{(x)} - \frac{1.175ln(x)ln(x)}{(x)} + \frac{13.987ln(x)}{(x)} + \frac{13.987ln(x)}{(x)} - \frac{53.183}{(x)}\\=& - \frac{1.175ln(x)ln(x)}{x} - \frac{1.175ln(x)ln(x)}{x} - \frac{1.175ln(x)ln(x)}{x} + \frac{13.987ln(x)}{x} + \frac{13.987ln(x)}{x} - \frac{53.183}{x}\\ \end{split}\end{equation} \]

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