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

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