There are 1 questions in this calculation: for each question, the 2 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{-16}{5}tan(t)\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-16}{5}tan(t)\right)}{dt}\\=&\frac{-16}{5}sec^{2}(t)(1)\\=&\frac{-16sec^{2}(t)}{5}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-16sec^{2}(t)}{5}\right)}{dt}\\=&\frac{-16*2sec^{2}(t)tan(t)}{5}\\=&\frac{-32tan(t)sec^{2}(t)}{5}\\ \end{split}\end{equation} \]

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