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

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