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

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