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

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