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

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