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

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