There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(lg(ln(lg(ln(lg(tan(x)))))))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(lg(ln(lg(ln(lg(tan(x)))))))\right)}{dx}\\=&\frac{sec^{2}(x)(1)}{(lg(ln(lg(ln(lg(tan(x)))))))ln{10}(ln(lg(ln(lg(tan(x))))))(lg(ln(lg(tan(x)))))ln{10}(ln(lg(tan(x))))(lg(tan(x)))ln{10}(tan(x))}\\=&\frac{sec^{2}(x)}{ln(lg(ln(lg(tan(x)))))ln^{3}{10}ln(lg(tan(x)))lg(tan(x))lg(ln(lg(ln(lg(tan(x))))))lg(ln(lg(tan(x))))tan(x)}\\ \end{split}\end{equation} \]

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