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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 3(1 - {x}^{2}){(2 - x)}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 3x^{4} + 12x^{3} - 9x^{2} - 12x + 12\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - 3x^{4} + 12x^{3} - 9x^{2} - 12x + 12\right)}{dx}\\=& - 3*4x^{3} + 12*3x^{2} - 9*2x - 12 + 0\\=& - 12x^{3} + 36x^{2} - 18x - 12\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - 12x^{3} + 36x^{2} - 18x - 12\right)}{dx}\\=& - 12*3x^{2} + 36*2x - 18 + 0\\=& - 36x^{2} + 72x - 18\\ \end{split}\end{equation} \]





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