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

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