There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{(\frac{2}{3})} + \frac{e{(π - {x}^{2})}^{\frac{1}{2}}sin(8πx)}{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{3}(π - x^{2})^{\frac{1}{2}}esin(8πx) + x^{\frac{2}{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{3}(π - x^{2})^{\frac{1}{2}}esin(8πx) + x^{\frac{2}{3}}\right)}{dx}\\=&\frac{1}{3}(\frac{\frac{1}{2}(0 - 2x)}{(π - x^{2})^{\frac{1}{2}}})esin(8πx) + \frac{1}{3}(π - x^{2})^{\frac{1}{2}}*0sin(8πx) + \frac{1}{3}(π - x^{2})^{\frac{1}{2}}ecos(8πx)*8π + \frac{\frac{2}{3}}{x^{\frac{1}{3}}}\\=& - \frac{xesin(8πx)}{3(π - x^{2})^{\frac{1}{2}}} + \frac{8(π - x^{2})^{\frac{1}{2}}πecos(8πx)}{3} + \frac{2}{3x^{\frac{1}{3}}}\\ \end{split}\end{equation} \]

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