There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 3cos(x)sqrt(\frac{(9sin(x)sin(x))}{(10*10)} + \frac{2*10}{10})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3cos(x)sqrt(\frac{9}{100}sin^{2}(x) + 2)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 3cos(x)sqrt(\frac{9}{100}sin^{2}(x) + 2)\right)}{dx}\\=&3*-sin(x)sqrt(\frac{9}{100}sin^{2}(x) + 2) + \frac{3cos(x)(\frac{9}{100}*2sin(x)cos(x) + 0)*\frac{1}{2}}{(\frac{9}{100}sin^{2}(x) + 2)^{\frac{1}{2}}}\\=&-3sin(x)sqrt(\frac{9}{100}sin^{2}(x) + 2) + \frac{27sin(x)cos^{2}(x)}{100(\frac{9}{100}sin^{2}(x) + 2)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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