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

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