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

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