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

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