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

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