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

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