There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x - \frac{(2{x}^{3})}{(3{(({x}^{2}) + 1)}^{3})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x - \frac{\frac{2}{3}x^{3}}{(x^{2} + 1)^{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x - \frac{\frac{2}{3}x^{3}}{(x^{2} + 1)^{3}}\right)}{dx}\\=&1 - \frac{2}{3}(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x^{3} - \frac{\frac{2}{3}*3x^{2}}{(x^{2} + 1)^{3}}\\=&\frac{4x^{4}}{(x^{2} + 1)^{4}} - \frac{2x^{2}}{(x^{2} + 1)^{3}} + 1\\ \end{split}\end{equation} \]

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