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

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