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

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