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

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