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

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