There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ (4x + 1)e^{2x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 4xe^{2x} + e^{2x}\right)}{dx}\\=&4e^{2x} + 4xe^{2x}*2 + e^{2x}*2\\=&6e^{2x} + 8xe^{2x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 6e^{2x} + 8xe^{2x}\right)}{dx}\\=&6e^{2x}*2 + 8e^{2x} + 8xe^{2x}*2\\=&20e^{2x} + 16xe^{2x}\\ \end{split}\end{equation} \]

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