There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(3{(ln(x))}^{2})(1 - 2xln(x)){e}^{(6x)}}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{3{e}^{(6x)}ln^{2}(x)}{x} - 6{e}^{(6x)}ln^{3}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{3{e}^{(6x)}ln^{2}(x)}{x} - 6{e}^{(6x)}ln^{3}(x)\right)}{dx}\\=&\frac{3*-{e}^{(6x)}ln^{2}(x)}{x^{2}} + \frac{3({e}^{(6x)}((6)ln(e) + \frac{(6x)(0)}{(e)}))ln^{2}(x)}{x} + \frac{3{e}^{(6x)}*2ln(x)}{x(x)} - 6({e}^{(6x)}((6)ln(e) + \frac{(6x)(0)}{(e)}))ln^{3}(x) - \frac{6{e}^{(6x)}*3ln^{2}(x)}{(x)}\\=&\frac{-3{e}^{(6x)}ln^{2}(x)}{x^{2}} + \frac{6{e}^{(6x)}ln(x)}{x^{2}} - 36{e}^{(6x)}ln^{3}(x)\\ \end{split}\end{equation} \]

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