TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\{x,a,b,c\in\mathbb{R}\vert ax^2+bx+c>0\} \cr \cr f(x)&=&\ln\left(ax^3+bx^2+c\right) \cr\cr \quad g(h(x)) &=& \ln(h(x)) & \Rightarrow & g'(h(x)) &=& \dfrac{1}{h(x)} \cr \quad g(x) &=& ax^3+bx^2+c & \Rightarrow & g'(x) &=& 3ax^2+2bx \cr \cr \cr f'(x)&=&\dfrac{1}{ax^3+bx^2+c}\cdot\left(3ax^2+2bx\right) \cr \cr &=&\dfrac{3ax^2+2bx}{ax^3+bx^2+c}\end{array}