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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (12pi - arctan(x))(x*2 + 1)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 24pix + 12pi - 2xarctan(x) - arctan(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 24pix + 12pi - 2xarctan(x) - arctan(x)\right)}{dx}\\=&24pi + 0 - 2arctan(x) - 2x(\frac{(1)}{(1 + (x)^{2})}) - (\frac{(1)}{(1 + (x)^{2})})\\=&24pi - 2arctan(x) - \frac{2x}{(x^{2} + 1)} - \frac{1}{(x^{2} + 1)}\\ \end{split}\end{equation} \]





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