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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{2}{(6 - x)}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} - 24x^{5} + 216x^{4} - 864x^{3} + 1296x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{6} - 24x^{5} + 216x^{4} - 864x^{3} + 1296x^{2}\right)}{dx}\\=&6x^{5} - 24*5x^{4} + 216*4x^{3} - 864*3x^{2} + 1296*2x\\=&6x^{5} - 120x^{4} + 864x^{3} - 2592x^{2} + 2592x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 6x^{5} - 120x^{4} + 864x^{3} - 2592x^{2} + 2592x\right)}{dx}\\=&6*5x^{4} - 120*4x^{3} + 864*3x^{2} - 2592*2x + 2592\\=&30x^{4} - 480x^{3} + 2592x^{2} - 5184x + 2592\\ \end{split}\end{equation} \]





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