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

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