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

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