There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{2}{3}){e}^{(3sqrt(x))}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2}{3}{e}^{(3sqrt(x))}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{2}{3}{e}^{(3sqrt(x))}\right)}{dx}\\=&\frac{2}{3}({e}^{(3sqrt(x))}((\frac{3*\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(e) + \frac{(3sqrt(x))(0)}{(e)}))\\=&\frac{{e}^{(3sqrt(x))}}{x^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !