TeX Quellcode:

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