There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 500(1 - cos(0.02t + \frac{pi}{4}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 500cos(0.02t + 0.25pi) + 500\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 500cos(0.02t + 0.25pi) + 500\right)}{dx}\\=& - 500*-sin(0.02t + 0.25pi)(0 + 0) + 0\\=&0\\ \end{split}\end{equation} \]

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