TeX Quellcode:

\begin{array}{ccllrcl}\quad\mathbb{D} &=& \mathbb{R}\\\\f(x) &=& 23x^2\cdot e^x\\\\\quad u(x) &=& 23x^2 &\Rightarrow & u'(x) &=& 46x\\\quad v(x) &=& e^x &\Rightarrow & v'(x) &=& e^x\\\\f'(x) &=& 46x\cdot e^x+23x^2\cdot e^x\\&=& e^x\left(46x+23x^2\right)\\&=& 23xe^x\left(2+x\right)\\\end{array}