There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arctan(x) - arctan(\frac{1}{10})x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arctan(x) - xarctan(\frac{1}{10})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arctan(x) - xarctan(\frac{1}{10})\right)}{dx}\\=&(\frac{(1)}{(1 + (x)^{2})}) - arctan(\frac{1}{10}) - x(\frac{(0)}{(1 + (\frac{1}{10})^{2})})\\=& - arctan(\frac{1}{10}) + \frac{1}{(x^{2} + 1)}\\ \end{split}\end{equation} \]

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