There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(sin(2)x)}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (xsin(2))^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (xsin(2))^{x}\right)}{dx}\\=&((xsin(2))^{x}((1)ln(xsin(2)) + \frac{(x)(sin(2) + xcos(2)*0)}{(xsin(2))}))\\=&(xsin(2))^{x}ln(xsin(2)) + (xsin(2))^{x}\\ \end{split}\end{equation} \]

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