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

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