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

Your problem has not been solved here? Please take a look at the  hot problems ！