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

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