There are 1 questions in this calculation: for each question, the 8 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 8th\ derivative\ of\ function\ \frac{{x}^{4}}{(1 + {x}^{3})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{4}}{(x^{3} + 1)}\\\\ &\color{blue}{The\ 8th\ derivative\ of\ function:} \\=&\frac{264539520x^{20}}{(x^{3} + 1)^{9}} - \frac{969978240x^{17}}{(x^{3} + 1)^{8}} + \frac{1381484160x^{14}}{(x^{3} + 1)^{7}} - \frac{953648640x^{11}}{(x^{3} + 1)^{6}} + \frac{322237440x^{8}}{(x^{3} + 1)^{5}} - \frac{46448640x^{5}}{(x^{3} + 1)^{4}} + \frac{1814400x^{2}}{(x^{3} + 1)^{3}}\\ \end{split}\end{equation} \]

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