There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5x + 2 + sqrt(16{x}^{2} + 20x + 4)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x + sqrt(16x^{2} + 20x + 4) + 2\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5x + sqrt(16x^{2} + 20x + 4) + 2\right)}{dx}\\=&5 + \frac{(16*2x + 20 + 0)*\frac{1}{2}}{(16x^{2} + 20x + 4)^{\frac{1}{2}}} + 0\\=&\frac{16x}{(16x^{2} + 20x + 4)^{\frac{1}{2}}} + \frac{10}{(16x^{2} + 20x + 4)^{\frac{1}{2}}} + 5\\ \end{split}\end{equation} \]

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