TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D} &=& \mathbb{R};\;x\ne\frac{-b}{a} \\\\f(x) &=& \dfrac{1}{ax+b} \\&=& (ax+b)^{-1} \\\\\quad g(h(x)) &=& (h(x))^{-1} & \Rightarrow & g'(h(x)) &=& -1(h(x))^{-2} \\\quad h(x) &=& ax+b & \Rightarrow & h'(x) &=& a \\\\f'(x) &=& -1(ax+b)^{-2}\cdot a \\&=& \dfrac{-a}{(ax+b)^2}\end{array}