There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ e^{(xsqrt(sin(x)))*3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{3xsqrt(sin(x))}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{3xsqrt(sin(x))}\right)}{dx}\\=&e^{3xsqrt(sin(x))}(3sqrt(sin(x)) + \frac{3xcos(x)*\frac{1}{2}}{(sin(x))^{\frac{1}{2}}})\\=&3e^{3xsqrt(sin(x))}sqrt(sin(x)) + \frac{3xe^{3xsqrt(sin(x))}cos(x)}{2sin^{\frac{1}{2}}(x)}\\ \end{split}\end{equation} \]

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