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

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