There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arctan(cot(4x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arctan(cot(4x))\right)}{dx}\\=&(\frac{(-csc^{2}(4x)*4)}{(1 + (cot(4x))^{2})})\\=&\frac{-4csc^{2}(4x)}{(cot^{2}(4x) + 1)}\\ \end{split}\end{equation} \]

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