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





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