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

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