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

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