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

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