There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5sin(2pit) + cos(4.1716pit + pi)sin(2pit) + 0.9603sin(4.1716pit + pi)cos(2pit)\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(2pit)cos(4.1716pit + pi) + 0.9603sin(4.1716pit + pi)cos(2pit) + 5sin(2pit)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(2pit)cos(4.1716pit + pi) + 0.9603sin(4.1716pit + pi)cos(2pit) + 5sin(2pit)\right)}{dt}\\=&cos(2pit)*2picos(4.1716pit + pi) - sin(2pit)sin(4.1716pit + pi)(4.1716pi + 0) + 0.9603cos(4.1716pit + pi)(4.1716pi + 0)cos(2pit) + 0.9603sin(4.1716pit + pi)*-sin(2pit)*2pi + 5cos(2pit)*2pi\\=&2picos(2pit)cos(4.1716pit + pi) - 4.1716pisin(2pit)sin(4.1716pit + pi) + 4.00598748picos(4.1716pit + pi)cos(2pit) - 1.9206pisin(4.1716pit + pi)sin(2pit) + 10picos(2pit)\\ \end{split}\end{equation} \]

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