TeX Quellcode:

\begin{array}{ccllrcl}\quad\mathbb{D} &=& \mathbb{R}\\\\f(x) &=& \sin(x)\cdot\cos(x)-\dfrac{3}{\pi}\\\\\quad u(x) &=& \sin(x) &\Rightarrow & u'(x) &=& \cos(x)\\\quad v(x) &=& \cos(x) &\Rightarrow & v'(x) &=& -\sin(x)\\\\f'(x) &=& \cos(x)\cdot\cos(x)+\sin(x)\cdot \left(-\sin(x)\right)-0\\&=& \cos^2(x)-\sin^2(x)\\\end{array}