There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ log_{csch(x)}^{{2}^{arccot(x)}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( log_{csch(x)}^{{2}^{arccot(x)}}\right)}{dx}\\=&(\frac{(\frac{(({2}^{arccot(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln(2) + \frac{(arccot(x))(0)}{(2)})))}{({2}^{arccot(x)})} - \frac{(-csch(x)coth(x))log_{csch(x)}^{{2}^{arccot(x)}}}{(csch(x))})}{(ln(csch(x)))})\\=&\frac{ln(2)}{(x^{2} + 1)ln(csch(x))} + \frac{log_{csch(x)}^{{2}^{arccot(x)}}coth(x)}{ln(csch(x))}\\ \end{split}\end{equation} \]

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