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

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