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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{(\frac{2}{3})}sin(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {x}^{\frac{2}{3}}sin(x)\right)}{dx}\\=&({x}^{\frac{2}{3}}((0)ln(x) + \frac{(\frac{2}{3})(1)}{(x)}))sin(x) + {x}^{\frac{2}{3}}cos(x)\\=&\frac{2sin(x)}{3x^{\frac{1}{3}}} + x^{\frac{2}{3}}cos(x)\\ \end{split}\end{equation} \]





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