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

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