There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln({(cos(x))}^{-6})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(\frac{1}{cos^{6}(x)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(\frac{1}{cos^{6}(x)})\right)}{dx}\\=&\frac{6sin(x)}{(\frac{1}{cos^{6}(x)})cos^{7}(x)}\\=&\frac{6sin(x)}{cos(x)}\\ \end{split}\end{equation} \]

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