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

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