There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x*3sin(x)cos(xsin(x)) + 3x*2sin(xsin(x)) + x*4cos(x)cos(xsin(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3xsin(x)cos(xsin(x)) + 6xsin(xsin(x)) + 4xcos(x)cos(xsin(x))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 3xsin(x)cos(xsin(x)) + 6xsin(xsin(x)) + 4xcos(x)cos(xsin(x))\right)}{dx}\\=&3sin(x)cos(xsin(x)) + 3xcos(x)cos(xsin(x)) + 3xsin(x)*-sin(xsin(x))(sin(x) + xcos(x)) + 6sin(xsin(x)) + 6xcos(xsin(x))(sin(x) + xcos(x)) + 4cos(x)cos(xsin(x)) + 4x*-sin(x)cos(xsin(x)) + 4xcos(x)*-sin(xsin(x))(sin(x) + xcos(x))\\=&3sin(x)cos(xsin(x)) + 3xcos(x)cos(xsin(x)) - 3x^{2}sin(xsin(x))sin(x)cos(x) - 4xsin(xsin(x))sin(x)cos(x) + 6sin(xsin(x)) + 2xsin(x)cos(xsin(x)) + 6x^{2}cos(x)cos(xsin(x)) + 4cos(x)cos(xsin(x)) - 3xsin(xsin(x))sin^{2}(x) - 4x^{2}sin(xsin(x))cos^{2}(x)\\ \end{split}\end{equation} \]

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