There are 1 questions in this calculation: for each question, the 8 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 8th\ derivative\ of\ function\ {(1 + {x}^{2})}^{-1}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{(x^{2} + 1)}\\\\ &\color{blue}{The\ 8th\ derivative\ of\ function:} \\=&\frac{10321920x^{8}}{(x^{2} + 1)^{9}} - \frac{18063360x^{6}}{(x^{2} + 1)^{8}} + \frac{9676800x^{4}}{(x^{2} + 1)^{7}} - \frac{1612800x^{2}}{(x^{2} + 1)^{6}} + \frac{40320}{(x^{2} + 1)^{5}}\\ \end{split}\end{equation} \]

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