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

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