There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{3} + (\frac{9}{2}){x}^{2} - 12x - 3\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{3} + \frac{9}{2}x^{2} - 12x - 3\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{3} + \frac{9}{2}x^{2} - 12x - 3\right)}{dx}\\=&3x^{2} + \frac{9}{2}*2x - 12 + 0\\=&3x^{2} + 9x - 12\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 3x^{2} + 9x - 12\right)}{dx}\\=&3*2x + 9 + 0\\=&6x + 9\\ \end{split}\end{equation} \]

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