There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5*3.442*2pit - 0.279sin(4.1716pit + \frac{pi}{3})\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 34.42pit - 0.279sin(4.1716pit + 0.333333333333333pi)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 34.42pit - 0.279sin(4.1716pit + 0.333333333333333pi)\right)}{dt}\\=&34.42pi - 0.279cos(4.1716pit + 0.333333333333333pi)(4.1716pi + 0)\\=& - 1.1638764picos(4.1716pit + 0.333333333333333pi) + 34.42pi\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！