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

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