There are 1 questions in this calculation: for each question, the 8 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 8th\ derivative\ of\ function\ ln({x}^{5} + 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(x^{5} + 1)\\\\ &\color{blue}{The\ 8th\ derivative\ of\ function:} \\=&\frac{-1968750000x^{32}}{(x^{5} + 1)^{8}} + \frac{6300000000x^{27}}{(x^{5} + 1)^{7}} - \frac{7560000000x^{22}}{(x^{5} + 1)^{6}} + \frac{4158000000x^{17}}{(x^{5} + 1)^{5}} - \frac{1013040000x^{12}}{(x^{5} + 1)^{4}} + \frac{84672000x^{7}}{(x^{5} + 1)^{3}} - \frac{907200x^{2}}{(x^{5} + 1)^{2}}\\ \end{split}\end{equation} \]

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