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

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