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

Your problem has not been solved here? Please take a look at the  hot problems ！