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

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