There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ ln(x + \frac{1}{x})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(x + \frac{1}{x})\right)}{dx}\\=&\frac{(1 + \frac{-1}{x^{2}})}{(x + \frac{1}{x})}\\=& - \frac{1}{(x + \frac{1}{x})x^{2}} + \frac{1}{(x + \frac{1}{x})}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - \frac{1}{(x + \frac{1}{x})x^{2}} + \frac{1}{(x + \frac{1}{x})}\right)}{dx}\\=& - \frac{(\frac{-(1 + \frac{-1}{x^{2}})}{(x + \frac{1}{x})^{2}})}{x^{2}} - \frac{-2}{(x + \frac{1}{x})x^{3}} + (\frac{-(1 + \frac{-1}{x^{2}})}{(x + \frac{1}{x})^{2}})\\=& - \frac{1}{(x + \frac{1}{x})^{2}x^{4}} + \frac{2}{(x + \frac{1}{x})^{2}x^{2}} + \frac{2}{(x + \frac{1}{x})x^{3}} - \frac{1}{(x + \frac{1}{x})^{2}}\\ \end{split}\end{equation} \]

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