There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {t}^{2}e^{a}(x - t)\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xt^{2}e^{a} - t^{3}e^{a}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xt^{2}e^{a} - t^{3}e^{a}\right)}{dt}\\=&x*2te^{a} + xt^{2}e^{a}*0 - 3t^{2}e^{a} - t^{3}e^{a}*0\\=&2xte^{a} - 3t^{2}e^{a}\\ \end{split}\end{equation} \]

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