There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{x}^{3}}{({x}^{3} + 1)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{3}}{(x^{3} + 1)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x^{3}}{(x^{3} + 1)}\right)}{dx}\\=&(\frac{-(3x^{2} + 0)}{(x^{3} + 1)^{2}})x^{3} + \frac{3x^{2}}{(x^{3} + 1)}\\=&\frac{-3x^{5}}{(x^{3} + 1)^{2}} + \frac{3x^{2}}{(x^{3} + 1)}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！