There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2(\frac{(sqrt(4{x}^{2} + 1))}{({x}^{2} + 1)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2sqrt(4x^{2} + 1)}{(x^{2} + 1)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{2sqrt(4x^{2} + 1)}{(x^{2} + 1)}\right)}{dx}\\=&2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})sqrt(4x^{2} + 1) + \frac{2(4*2x + 0)*\frac{1}{2}}{(x^{2} + 1)(4x^{2} + 1)^{\frac{1}{2}}}\\=&\frac{-4xsqrt(4x^{2} + 1)}{(x^{2} + 1)^{2}} + \frac{8x}{(x^{2} + 1)(4x^{2} + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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