There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ xInx + (1 - x)In(1 - x) + \frac{5}{2}x(1 - x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2Inx^{2} - 2Inx + In + \frac{5}{2}x - \frac{5}{2}x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2Inx^{2} - 2Inx + In + \frac{5}{2}x - \frac{5}{2}x^{2}\right)}{dx}\\=&2In*2x - 2In + 0 + \frac{5}{2} - \frac{5}{2}*2x\\=&4Inx - 2In - 5x + \frac{5}{2}\\ \end{split}\end{equation} \]

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