There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {({e}^{(3x)} + 2)}^{6}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ({e}^{(3x)} + 2)^{6}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ({e}^{(3x)} + 2)^{6}\right)}{dx}\\=&(6({e}^{(3x)} + 2)^{5}(({e}^{(3x)}((3)ln(e) + \frac{(3x)(0)}{(e)})) + 0))\\=&18{e}^{(18x)} + 180{e}^{(15x)} + 720{e}^{(12x)} + 1440{e}^{(9x)} + 1440{e}^{(6x)} + 576{e}^{(3x)}\\ \end{split}\end{equation} \]

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