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

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