TeX Quellcode:
\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R} \cr \cr f(x) &=& \lg(x^2+2) \cr\cr \quad g(h(x)) &=& \lg(h(x)) & \Rightarrow & g'(h(x)) &=& \dfrac{1}{h(x) \cdot \ln(10)} \cr \quad h(x) &=& x^2+2 & \Rightarrow & h'(x) &=& 2x \cr\cr f'(x) &=& \dfrac{1}{\left(x^2+2 \right) \cdot \ln(10)} \cdot 2x \cr\cr &=& \dfrac{2x}{\ln(10) \cdot (x^2+2)} \end{array}