There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ {(x(x - 1))}^{-1}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{(x - 1)x}\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&\frac{-1307674368000}{(x - 1)^{16}x} - \frac{1307674368000}{(x - 1)^{15}x^{2}} - \frac{1307674368000}{(x - 1)^{14}x^{3}} - \frac{1307674368000}{(x - 1)^{13}x^{4}} - \frac{1307674368000}{(x - 1)^{12}x^{5}} - \frac{1307674368000}{(x - 1)^{11}x^{6}} - \frac{1307674368000}{(x - 1)^{10}x^{7}} - \frac{1307674368000}{(x - 1)^{9}x^{8}} - \frac{1307674368000}{(x - 1)^{8}x^{9}} - \frac{1307674368000}{(x - 1)^{7}x^{10}} - \frac{1307674368000}{(x - 1)^{6}x^{11}} - \frac{1307674368000}{(x - 1)^{5}x^{12}} - \frac{1307674368000}{(x - 1)^{4}x^{13}} - \frac{1307674368000}{(x - 1)^{3}x^{14}} - \frac{1307674368000}{(x - 1)^{2}x^{15}} - \frac{1307674368000}{(x - 1)x^{16}}\\ \end{split}\end{equation} \]

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