There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 1680sin(x*2) + 13440x*2cos(x*2) - 13440x*4sin(x*2) - 3584x*6cos(x*2) + 256x*8sin(x*2)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 1680sin(2x) + 5376xcos(2x) - 51712xsin(2x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 1680sin(2x) + 5376xcos(2x) - 51712xsin(2x)\right)}{dx}\\=&1680cos(2x)*2 + 5376cos(2x) + 5376x*-sin(2x)*2 - 51712sin(2x) - 51712xcos(2x)*2\\=&8736cos(2x) - 10752xsin(2x) - 51712sin(2x) - 103424xcos(2x)\\ \end{split}\end{equation} \]

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