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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{2}{(x - 1)}^{2}{(x - 2)}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} - 6x^{5} + 13x^{4} - 12x^{3} + 4x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{6} - 6x^{5} + 13x^{4} - 12x^{3} + 4x^{2}\right)}{dx}\\=&6x^{5} - 6*5x^{4} + 13*4x^{3} - 12*3x^{2} + 4*2x\\=&6x^{5} - 30x^{4} + 52x^{3} - 36x^{2} + 8x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 6x^{5} - 30x^{4} + 52x^{3} - 36x^{2} + 8x\right)}{dx}\\=&6*5x^{4} - 30*4x^{3} + 52*3x^{2} - 36*2x + 8\\=&30x^{4} - 120x^{3} + 156x^{2} - 72x + 8\\ \end{split}\end{equation} \]





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