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

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