There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(x)sin(\frac{x}{2} + 30)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x)sin(\frac{1}{2}x + 30)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x)sin(\frac{1}{2}x + 30)\right)}{dx}\\=&cos(x)sin(\frac{1}{2}x + 30) + sin(x)cos(\frac{1}{2}x + 30)(\frac{1}{2} + 0)\\=&sin(\frac{1}{2}x + 30)cos(x) + \frac{sin(x)cos(\frac{1}{2}x + 30)}{2}\\ \end{split}\end{equation} \]

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