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

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