There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({(sin(x))}^{3})({(cos(x))}^{\frac{3}{2}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin^{3}(x)cos^{\frac{3}{2}}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin^{3}(x)cos^{\frac{3}{2}}(x)\right)}{dx}\\=&3sin^{2}(x)cos(x)cos^{\frac{3}{2}}(x) + sin^{3}(x)*\frac{-3}{2}cos^{\frac{1}{2}}(x)sin(x)\\=&3sin^{2}(x)cos^{\frac{5}{2}}(x) - \frac{3sin^{4}(x)cos^{\frac{1}{2}}(x)}{2}\\ \end{split}\end{equation} \]

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