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

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