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

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