TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R} \cr \cr f(x) &=& \dfrac{x}{2 x^{2} + 4} \cr \cr \quad u(x) &=& x & \Rightarrow & u'(x) &=&1\cr \quad v(x) &=&2 x^{2} + 4 & \Rightarrow & v'(x) &=& 4 x \cr \cr f'(x) &=& \dfrac{1 \cdot \left(2 x^{2} + 4\right)-x \cdot 4 x}{\left(2 x^{2} + 4\right)^2} \cr \cr &=& \dfrac{2 x^{2} + 4-4 x^{2}}{\left(2x^{2} + 4\right)^{2}} \cr \cr &=& \dfrac{4 - 2 x^{2}}{4\left(x^{2} + 2\right)^{2}} \cr \cr &=& \dfrac{2 - x^{2}}{2 \left(x^{2} + 2\right)^{2}} \end{array}