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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arctan(\frac{(1 - 2x)}{(12x)})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arctan(\frac{\frac{1}{12}}{x} - \frac{1}{6})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( arctan(\frac{\frac{1}{12}}{x} - \frac{1}{6})\right)}{dx}\\=&(\frac{(\frac{\frac{1}{12}*-1}{x^{2}} + 0)}{(1 + (\frac{\frac{1}{12}}{x} - \frac{1}{6})^{2})})\\=&\frac{-1}{12(\frac{\frac{1}{144}}{x^{2}} - \frac{\frac{1}{36}}{x} + \frac{37}{36})x^{2}}\\ \end{split}\end{equation} \]





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