There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -18.776e^{-21.8x}(0.95cos(320.187x) + 0.24sin(320.187x)) + 18.776sin(100πx - 0.4π)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -17.8372e^{-21.8x}cos(320.187x) - 4.50624e^{-21.8x}sin(320.187x) + 18.776sin(100πx - 0.4π)\right)}{dx}\\=&-17.8372e^{-21.8x}*-21.8cos(320.187x) - 17.8372e^{-21.8x}*-sin(320.187x)*320.187 - 4.50624e^{-21.8x}*-21.8sin(320.187x) - 4.50624e^{-21.8x}cos(320.187x)*320.187 + 18.776cos(100πx - 0.4π)(100π + 0)\\=&388.85096e^{-21.8x}cos(320.187x) + 5711.2395564e^{-21.8x}sin(320.187x) + 98.236032e^{-21.8x}sin(320.187x) - 1442.83946688e^{-21.8x}cos(320.187x) + 1877.6πcos(100πx - 0.4π)\\ \end{split}\end{equation} \]

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