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

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