There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {3}^{x}sin(3x){\frac{1}{9}}^{x} - 1\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {3}^{(2x)}sin(3x) - 1\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {3}^{(2x)}sin(3x) - 1\right)}{dx}\\=&({3}^{(2x)}((2)ln(3) + \frac{(2x)(0)}{(3)}))sin(3x) + {3}^{(2x)}cos(3x)*3 + 0\\=&2 * {3}^{(2x)}ln(3)sin(3x) + 3 * {3}^{(2x)}cos(3x)\\ \end{split}\end{equation} \]

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