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

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