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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{{(x - 3)}^{2}(x - 1)}{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{4}x^{3} - \frac{7}{4}x^{2} + \frac{15}{4}x - \frac{9}{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{4}x^{3} - \frac{7}{4}x^{2} + \frac{15}{4}x - \frac{9}{4}\right)}{dx}\\=&\frac{1}{4}*3x^{2} - \frac{7}{4}*2x + \frac{15}{4} + 0\\=&\frac{3x^{2}}{4} - \frac{7x}{2} + \frac{15}{4}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{3x^{2}}{4} - \frac{7x}{2} + \frac{15}{4}\right)}{dx}\\=&\frac{3*2x}{4} - \frac{7}{2} + 0\\=&\frac{3x}{2} - \frac{7}{2}\\ \end{split}\end{equation} \]





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