TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R}\setminus_{\left\{0\right\}} \cr \cr f(x) &=& \dfrac{17 e^{x} - 1}{34 x^{2}} \cr \cr \quad u(x) &=& 17 e^{x} - 1 & \Rightarrow & u'(x) &=&17 e^{x}\cr \quad v(x) &=&34 x^{2} & \Rightarrow & v'(x) &=& 68 x \cr \cr f'(x) &=& \dfrac{17 e^{x}\cdot 34 x^{2}-\left(17 e^{x} - 1 \right)\cdot 68 x}{\left(34 x^{2}\right)^2} \cr \cr &=& \dfrac{578 x^{2} e^{x}-1.156x e^{x} +68x}{1.156 x^{4}}\cr \cr &=& \dfrac{34 x \left(17 x e^{x} - 34 e^{x} + 2\right)}{1.156 x^{4}} \cr \cr &=& \dfrac{17 x e^{x} - 34 e^{x} + 2}{34 x^{3}} \end{array}