There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(1 + {(1 + \frac{1}{({x}^{2})})}^{\frac{1}{2}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln((\frac{1}{x^{2}} + 1)^{\frac{1}{2}} + 1)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln((\frac{1}{x^{2}} + 1)^{\frac{1}{2}} + 1)\right)}{dx}\\=&\frac{((\frac{\frac{1}{2}(\frac{-2}{x^{3}} + 0)}{(\frac{1}{x^{2}} + 1)^{\frac{1}{2}}}) + 0)}{((\frac{1}{x^{2}} + 1)^{\frac{1}{2}} + 1)}\\=&\frac{-1}{((\frac{1}{x^{2}} + 1)^{\frac{1}{2}} + 1)(\frac{1}{x^{2}} + 1)^{\frac{1}{2}}x^{3}}\\ \end{split}\end{equation} \]

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