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

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