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

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