TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R}\setminus_{\left\{\frac{3}{2}\right\}}\cr \cr f(x) &=& \dfrac{8 x + 3}{4 x - 6} \cr \cr \quad u(x) &=& 8 x + 3 & \Rightarrow & u'(x) &=&8\cr \quad v(x) &=&4 x - 6 & \Rightarrow & v'(x) &=& 4\cr \cr f'(x) &=& \dfrac{8\cdot \left(4 x - 6\right)-\left(8 x + 3 \right)\cdot 4}{\left(4 x - 6\right)^2} \cr \cr &=& \dfrac{32 x - 48-32 x - 12}{\left(4 x - 6\right)^{2}}\cr \cr &=& \dfrac{-60}{4\left(2x - 3\right)^{2}} \cr \cr &=& - \dfrac{15}{\left(2 x - 3\right)^{2}}\end{array}