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

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