There are 1 questions in this calculation: for each question, the 5 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 5th\ derivative\ of\ function\ \frac{x}{(1 + {x}^{2})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x}{(x^{2} + 1)}\\\\ &\color{blue}{The\ 5th\ derivative\ of\ function:} \\=&\frac{-3840x^{6}}{(x^{2} + 1)^{6}} + \frac{5760x^{4}}{(x^{2} + 1)^{5}} - \frac{2160x^{2}}{(x^{2} + 1)^{4}} + \frac{120}{(x^{2} + 1)^{3}}\\ \end{split}\end{equation} \]

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