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

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