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

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