There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ tan(x){(csc(x))}^{4} - \frac{4{(cot(x))}^{3}}{3} - 4cot(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = tan(x)csc^{4}(x) - \frac{4}{3}cot^{3}(x) - 4cot(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( tan(x)csc^{4}(x) - \frac{4}{3}cot^{3}(x) - 4cot(x)\right)}{dx}\\=&sec^{2}(x)(1)csc^{4}(x) + tan(x)*-4csc^{4}(x)cot(x) - \frac{4}{3}*-3cot^{2}(x)csc^{2}(x) - 4*-csc^{2}(x)\\=&sec^{2}(x)csc^{4}(x) - 4tan(x)cot(x)csc^{4}(x) + 4cot^{2}(x)csc^{2}(x) + 4csc^{2}(x)\\ \end{split}\end{equation} \]

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