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

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