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

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