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

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