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





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