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

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