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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{(x - 1){(x - 2)}^{2}{(x - 3)}^{3}}{x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{5} - 14x^{4} + 80x^{3} - 238x^{2} + 387x + \frac{108}{x} - 324\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{5} - 14x^{4} + 80x^{3} - 238x^{2} + 387x + \frac{108}{x} - 324\right)}{dx}\\=&5x^{4} - 14*4x^{3} + 80*3x^{2} - 238*2x + 387 + \frac{108*-1}{x^{2}} + 0\\=&5x^{4} - 56x^{3} + 240x^{2} - 476x - \frac{108}{x^{2}} + 387\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 5x^{4} - 56x^{3} + 240x^{2} - 476x - \frac{108}{x^{2}} + 387\right)}{dx}\\=&5*4x^{3} - 56*3x^{2} + 240*2x - 476 - \frac{108*-2}{x^{3}} + 0\\=&20x^{3} - 168x^{2} + 480x + \frac{216}{x^{3}} - 476\\ \end{split}\end{equation} \]





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