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





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