There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 0.03sin((0.1 + 0.1cos(t))t) + 0\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.03sin(0.1tcos(t) + 0.1t)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.03sin(0.1tcos(t) + 0.1t)\right)}{dt}\\=&0.03cos(0.1tcos(t) + 0.1t)(0.1cos(t) + 0.1t*-sin(t) + 0.1)\\=&0.003cos(0.1tcos(t) + 0.1t)cos(t) - 0.003tsin(t)cos(0.1tcos(t) + 0.1t) + 0.003cos(0.1tcos(t) + 0.1t)\\ \end{split}\end{equation} \]

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