There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ xlog_{3}^{x} - \frac{x}{ln(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xlog_{3}^{x} - \frac{x}{ln(x)}\right)}{dx}\\=&log_{3}^{x} + x(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{3}^{x}}{(3)})}{(ln(3))}) - \frac{1}{ln(x)} - \frac{x*-1}{ln^{2}(x)(x)}\\=&log_{3}^{x} + \frac{1}{ln(3)} - \frac{1}{ln(x)} + \frac{1}{ln^{2}(x)}\\ \end{split}\end{equation} \]

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