There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{9}{6}^{(\frac{11}{2}x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{9}{6}^{(\frac{11}{2}x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{9}{6}^{(\frac{11}{2}x)}\right)}{dx}\\=&9x^{8}{6}^{(\frac{11}{2}x)} + x^{9}({6}^{(\frac{11}{2}x)}((\frac{11}{2})ln(6) + \frac{(\frac{11}{2}x)(0)}{(6)}))\\=&\frac{11x^{9}{6}^{(\frac{11}{2}x)}ln(6)}{2} + 9x^{8}{6}^{(\frac{11}{2}x)}\\ \end{split}\end{equation} \]

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