There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{x}{2} + 2{(3)}^{\frac{1}{2}} + {({x}^{2} + 0.25)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.5x + (x^{2} + 0.25)^{\frac{1}{2}} + 3.46410161513775\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.5x + (x^{2} + 0.25)^{\frac{1}{2}} + 3.46410161513775\right)}{dx}\\=&0.5 + (\frac{0.5(2x + 0)}{(x^{2} + 0.25)^{\frac{1}{2}}}) + 0\\=&\frac{x}{(x^{2} + 0.25)^{\frac{1}{2}}} + 0.5\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！