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

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