There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 43.74 + 7.6sin(\frac{3.14(x - 0.012)}{0.2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 7.6sin(15.7x - 0.1884) + 43.74\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 7.6sin(15.7x - 0.1884) + 43.74\right)}{dx}\\=&7.6cos(15.7x - 0.1884)(15.7 + 0) + 0\\=&119.32cos(15.7x - 0.1884)\\ \end{split}\end{equation} \]

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