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

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