There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{2}(Ax + B)e^{3}x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = Ax^{4}e^{3} + Bx^{3}e^{3}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( Ax^{4}e^{3} + Bx^{3}e^{3}\right)}{dx}\\=&A*4x^{3}e^{3} + Ax^{4}e^{3}*0 + B*3x^{2}e^{3} + Bx^{3}e^{3}*0\\=&4Ax^{3}e^{3} + 3Bx^{2}e^{3}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4Ax^{3}e^{3} + 3Bx^{2}e^{3}\right)}{dx}\\=&4A*3x^{2}e^{3} + 4Ax^{3}e^{3}*0 + 3B*2xe^{3} + 3Bx^{2}e^{3}*0\\=&12Ax^{2}e^{3} + 6Bxe^{3}\\ \end{split}\end{equation} \]

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