There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ {x}^{4}{\frac{1}{(1 + x)}}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{4}}{(x + 1)^{3}}\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&\frac{-177843714048000x^{4}}{(x + 1)^{18}} + \frac{627683696640000x^{3}}{(x + 1)^{17}} - \frac{823834851840000x^{2}}{(x + 1)^{16}} + \frac{475993469952000x}{(x + 1)^{15}} - \frac{101998600704000}{(x + 1)^{14}}\\ \end{split}\end{equation} \]

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