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

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