There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 6{x}^{(\frac{9}{x})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 6{x}^{(\frac{9}{x})}\right)}{dx}\\=&6({x}^{(\frac{9}{x})}((\frac{9*-1}{x^{2}})ln(x) + \frac{(\frac{9}{x})(1)}{(x)}))\\=&\frac{-54{x}^{(\frac{9}{x})}ln(x)}{x^{2}} + \frac{54{x}^{(\frac{9}{x})}}{x^{2}}\\ \end{split}\end{equation} \]

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