There are 1 questions in this calculation: for each question, the 9 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 9th\ derivative\ of\ function\ \frac{1}{(1 + {x}^{2})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{(x^{2} + 1)}\\\\ &\color{blue}{The\ 9th\ derivative\ of\ function:} \\=&\frac{-185794560x^{9}}{(x^{2} + 1)^{10}} + \frac{371589120x^{7}}{(x^{2} + 1)^{9}} - \frac{243855360x^{5}}{(x^{2} + 1)^{8}} + \frac{58060800x^{3}}{(x^{2} + 1)^{7}} - \frac{3628800x}{(x^{2} + 1)^{6}}\\ \end{split}\end{equation} \]

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