There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{\frac{1}{2}}{\frac{1}{x}}^{(\frac{7}{3})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{\frac{1}{2}}{\frac{1}{x}}^{\frac{7}{3}}\right)}{dx}\\=&({x}^{\frac{1}{2}}((0)ln(x) + \frac{(\frac{1}{2})(1)}{(x)})){\frac{1}{x}}^{\frac{7}{3}} + {x}^{\frac{1}{2}}({\frac{1}{x}}^{\frac{7}{3}}((0)ln(\frac{1}{x}) + \frac{(\frac{7}{3})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))\\=&\frac{-11}{6x^{\frac{17}{6}}}\\ \end{split}\end{equation} \]

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