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

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