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

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