There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4{sin(x)}^{2}cos(3x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 4sin^{2}(x)cos(3x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 4sin^{2}(x)cos(3x)\right)}{dx}\\=&4*2sin(x)cos(x)cos(3x) + 4sin^{2}(x)*-sin(3x)*3\\=&8sin(x)cos(x)cos(3x) - 12sin(3x)sin^{2}(x)\\ \end{split}\end{equation} \]

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