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

Your problem has not been solved here? Please take a look at the  hot problems ！