There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(\frac{{e}^{x}}{(1 + x)})}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{{e}^{(3x)}}{(x + 1)^{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{{e}^{(3x)}}{(x + 1)^{3}}\right)}{dx}\\=&(\frac{-3(1 + 0)}{(x + 1)^{4}}){e}^{(3x)} + \frac{({e}^{(3x)}((3)ln(e) + \frac{(3x)(0)}{(e)}))}{(x + 1)^{3}}\\=&\frac{-3{e}^{(3x)}}{(x + 1)^{4}} + \frac{3{e}^{(3x)}}{(x + 1)^{3}}\\ \end{split}\end{equation} \]

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