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

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