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

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