TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R}\setminus_{\left\{- \frac{2}{9}\right\}}\cr \cr f(x) &=& \dfrac{3 x + 5}{9 x + 2}\cr \cr \quad u(x) &=& 3 x + 5 & \Rightarrow & u'(x) &=&3\cr \quad v(x) &=&9 x + 2 & \Rightarrow & v'(x) &=& 9\cr \cr f'(x) &=& \dfrac{3 \cdot \left(9 x + 2\right)-\left(3 x + 5 \right)\cdot 9}{\left(9 x + 2\right)^2}\cr \cr &=& \dfrac{27 x + 6-27 x - 45}{\left(9 x + 2\right)^{2}}\cr \cr &=& \dfrac{-39}{\left(9 x + 2\right)^{2}}\end{array}