There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 2xln(x - 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2xln(x - 1)\right)}{dx}\\=&2ln(x - 1) + \frac{2x(1 + 0)}{(x - 1)}\\=&2ln(x - 1) + \frac{2x}{(x - 1)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 2ln(x - 1) + \frac{2x}{(x - 1)}\right)}{dx}\\=&\frac{2(1 + 0)}{(x - 1)} + 2(\frac{-(1 + 0)}{(x - 1)^{2}})x + \frac{2}{(x - 1)}\\=&\frac{-2x}{(x - 1)^{2}} + \frac{4}{(x - 1)}\\ \end{split}\end{equation} \]

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