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

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