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

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