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

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