There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{2{(3x + 6)}^{(\frac{3}{2})}}{9}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{2}{9}(3x + 6)^{\frac{3}{2}}\right)}{dx}\\=&\frac{2}{9}((3x + 6)^{\frac{3}{2}}((0)ln(3x + 6) + \frac{(\frac{3}{2})(3 + 0)}{(3x + 6)}))\\=&\frac{(3x + 6)^{\frac{3}{2}}}{(3x + 6)}\\ \end{split}\end{equation} \]

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