There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (6 - 6cos(\frac{6x}{5}) + sqrt(3500))sin(x) - 10cos(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 6sin(x)cos(\frac{6}{5}x) + sin(x)sqrt(3500) + 6sin(x) - 10cos(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 6sin(x)cos(\frac{6}{5}x) + sin(x)sqrt(3500) + 6sin(x) - 10cos(x)\right)}{dx}\\=& - 6cos(x)cos(\frac{6}{5}x) - 6sin(x)*-sin(\frac{6}{5}x)*\frac{6}{5} + cos(x)sqrt(3500) + sin(x)*0*\frac{1}{2}*3500^{\frac{1}{2}} + 6cos(x) - 10*-sin(x)\\=& - 6cos(x)cos(\frac{6}{5}x) + \frac{36sin(\frac{6}{5}x)sin(x)}{5} + cos(x)sqrt(3500) + 6cos(x) + 10sin(x)\\ \end{split}\end{equation} \]

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