There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({e}^{t})sin(2)tdt\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = t^{2}d{e}^{t}sin(2)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( t^{2}d{e}^{t}sin(2)\right)}{dx}\\=&t^{2}d({e}^{t}((0)ln(e) + \frac{(t)(0)}{(e)}))sin(2) + t^{2}d{e}^{t}cos(2)*0\\=&0\\ \end{split}\end{equation} \]

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