There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(2{x}^{3}{e}^{2}x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(2x^{4}e^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(2x^{4}e^{2})\right)}{dx}\\=&\frac{(2*4x^{3}e^{2} + 2x^{4}*2e*0)}{(2x^{4}e^{2})}\\=&\frac{4}{x}\\ \end{split}\end{equation} \]

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