There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ e^{x}cos(11000x) - e^{x}sin(11000x)*1000\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{x}cos(11000x) - 1000e^{x}sin(11000x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{x}cos(11000x) - 1000e^{x}sin(11000x)\right)}{dx}\\=&e^{x}cos(11000x) + e^{x}*-sin(11000x)*11000 - 1000e^{x}sin(11000x) - 1000e^{x}cos(11000x)*11000\\=&-10999999e^{x}cos(11000x) - 12000e^{x}sin(11000x)\\ \end{split}\end{equation} \]

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