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

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