There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 12x + sin(4x) - 8sin(2x) - 1\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 12x + sin(4x) - 8sin(2x) - 1\right)}{dx}\\=&12 + cos(4x)*4 - 8cos(2x)*2 + 0\\=&4cos(4x) - 16cos(2x) + 12\\ \end{split}\end{equation} \]

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