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

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