Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 8{(x - 2)}^{2} - 7{(x - 1)}^{3} + 3{(x - 1)}^{3}(x - 2)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3x^{4} - 22x^{3} + 56x^{2} - 74x + 45\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 3x^{4} - 22x^{3} + 56x^{2} - 74x + 45\right)}{dx}\\=&3*4x^{3} - 22*3x^{2} + 56*2x - 74 + 0\\=&12x^{3} - 66x^{2} + 112x - 74\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 12x^{3} - 66x^{2} + 112x - 74\right)}{dx}\\=&12*3x^{2} - 66*2x + 112 + 0\\=&36x^{2} - 132x + 112\\ \end{split}\end{equation} \]





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