There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 51{x}^{4} + 289{x}^{3} - 153{x}^{2} + 82\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 51x^{4} + 289x^{3} - 153x^{2} + 82\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 51x^{4} + 289x^{3} - 153x^{2} + 82\right)}{dx}\\=&51*4x^{3} + 289*3x^{2} - 153*2x + 0\\=&204x^{3} + 867x^{2} - 306x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 204x^{3} + 867x^{2} - 306x\right)}{dx}\\=&204*3x^{2} + 867*2x - 306\\=&612x^{2} + 1734x - 306\\ \end{split}\end{equation} \]

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