There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 3{arcsin(5x)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 3{arcsin(5x)}^{\frac{1}{2}}\right)}{dx}\\=&3({arcsin(5x)}^{\frac{1}{2}}((0)ln(arcsin(5x)) + \frac{(\frac{1}{2})((\frac{(5)}{((1 - (5x)^{2})^{\frac{1}{2}})}))}{(arcsin(5x))}))\\=&\frac{15}{2(-25x^{2} + 1)^{\frac{1}{2}}arcsin^{\frac{1}{2}}(5x)}\\ \end{split}\end{equation} \]

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