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

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