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





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