There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 3({(sin(x))}^{2})cos(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3sin^{2}(x)cos(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 3sin^{2}(x)cos(x)\right)}{dx}\\=&3*2sin(x)cos(x)cos(x) + 3sin^{2}(x)*-sin(x)\\=&6sin(x)cos^{2}(x) - 3sin^{3}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 6sin(x)cos^{2}(x) - 3sin^{3}(x)\right)}{dx}\\=&6cos(x)cos^{2}(x) + 6sin(x)*-2cos(x)sin(x) - 3*3sin^{2}(x)cos(x)\\=&6cos^{3}(x) - 21sin^{2}(x)cos(x)\\ \end{split}\end{equation} \]

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