TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R} \cr \cr f(x)&=&\cos^2(x) \cr\cr \quad g(h(x)) &=& (h(x))^2 & \Rightarrow & g'(h(x)) &=& 2h(x) \cr \quad h(x) &=& \cos(x) & \Rightarrow & h'(x) &=& -\sin(x) \cr \cr f'(x) &=& 2\cdot \cos(x) \cdot \left( -\sin(x) \right) \cr &=&-2\sin(x)\cos(x) \end{array}