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

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