TeX Quellcode:
\begin{array}{lclcrcl}\quad\mathbb{D}&=&\mathbb{R} \cr \cr f(x)&=&x^2 \cdot 10^x \cr\cr \quad u(x) &=& x^2 & \Rightarrow & u'(x) &=& 2x \cr \quad v(x) &=& 10^x & \Rightarrow & v'(x) &=& 10^x\cdot\ln\left(10\right) \cr \cr f'(x) &=& x^2 \cdot10^x\cdot\ln\left(10\right) + 2x \cdot 10^x \cr &=&\left(x^2\cdot\ln\left(10\right)+2x\right) 10^x \end{array}