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

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