TeX Quellcode:
\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R} \cr \cr f(x) &=& 12xe^{x+10} \cr \cr \quad u(x) &=& 12x & \Rightarrow & u'(x) &=& 12 \cr \quad v(h(x)) &=& e^{h(x)} & \Rightarrow & v'(h(x)) &=& e^{h(x)} \cr \quad h(x) &=& x+10 & \Rightarrow & h'(x) &=& 1 \cr \cr f'(x) &=& 12x e^{x+10} \cdot 1+12 \cdot e^{x+10} \cr &=& 12(x+1)e^{x+10} \end{array}