There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{5{(x - 2)}^{(\frac{2}{3})}}{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{5}{3}(x - 2)^{\frac{2}{3}}\right)}{dx}\\=&\frac{5}{3}((x - 2)^{\frac{2}{3}}((0)ln(x - 2) + \frac{(\frac{2}{3})(1 + 0)}{(x - 2)}))\\=&\frac{10(x - 2)^{\frac{2}{3}}}{9(x - 2)}\\ \end{split}\end{equation} \]

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