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

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