There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (9{t}^{2} + 11{t}^{3} - 27){\frac{1}{t}}^{4}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{9}{t^{2}} + \frac{11}{t} - \frac{27}{t^{4}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{9}{t^{2}} + \frac{11}{t} - \frac{27}{t^{4}}\right)}{dt}\\=&\frac{9*-2}{t^{3}} + \frac{11*-1}{t^{2}} - \frac{27*-4}{t^{5}}\\=&\frac{-18}{t^{3}} - \frac{11}{t^{2}} + \frac{108}{t^{5}}\\ \end{split}\end{equation} \]

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