Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{\frac{1}{3}}(2 - x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x^{\frac{4}{3}} + 2x^{\frac{1}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - x^{\frac{4}{3}} + 2x^{\frac{1}{3}}\right)}{dx}\\=& - \frac{4}{3}x^{\frac{1}{3}} + \frac{2*\frac{1}{3}}{x^{\frac{2}{3}}}\\=& - \frac{4x^{\frac{1}{3}}}{3} + \frac{2}{3x^{\frac{2}{3}}}\\ \end{split}\end{equation} \]





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