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

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