There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {t}^{2}{(4t + 8)}^{3}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 64t^{5} + 384t^{4} + 768t^{3} + 512t^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 64t^{5} + 384t^{4} + 768t^{3} + 512t^{2}\right)}{dt}\\=&64*5t^{4} + 384*4t^{3} + 768*3t^{2} + 512*2t\\=&320t^{4} + 1536t^{3} + 2304t^{2} + 1024t\\ \end{split}\end{equation} \]

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