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

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