There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 8{({t}^{7} - 8)}^{5}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8t^{35} - 320t^{28} + 5120t^{21} - 40960t^{14} + 163840t^{7} - 262144\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 8t^{35} - 320t^{28} + 5120t^{21} - 40960t^{14} + 163840t^{7} - 262144\right)}{dt}\\=&8*35t^{34} - 320*28t^{27} + 5120*21t^{20} - 40960*14t^{13} + 163840*7t^{6} + 0\\=&280t^{34} - 8960t^{27} + 107520t^{20} - 573440t^{13} + 1146880t^{6}\\ \end{split}\end{equation} \]

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