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

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