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

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