There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arctan({y}^{2}{\frac{1}{x}}^{2}) + ln(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arctan(\frac{y^{2}}{x^{2}}) + ln(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arctan(\frac{y^{2}}{x^{2}}) + ln(x)\right)}{dx}\\=&(\frac{(\frac{y^{2}*-2}{x^{3}})}{(1 + (\frac{y^{2}}{x^{2}})^{2})}) + \frac{1}{(x)}\\=&\frac{-2y^{2}}{(\frac{y^{4}}{x^{4}} + 1)x^{3}} + \frac{1}{x}\\ \end{split}\end{equation} \]

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