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

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