TeX Quellcode:
\begin{array}{rclll} \mathbb{D} &=& \mathbb{R} \cr\cr f'(x) &=& e^{0{,}1x^2-8x-6{,}3}\cdot \left(0{,}2x-8\right) \cr\cr &=& \left(\dfrac{x}{5}-8\right)e^{0{,}1x^2-8x-6{,}3} \cr\cr\cr f''(x) &=& \dfrac{x}{5}e^{0{,}1x^2-8x-6{,}3} +\left(\dfrac{x}{5}-8\right)e^{0{,}1x^2-8x-6{,}3}\cdot\left(\dfrac{x}{5}-8\right) \cr\cr &=& \left(\dfrac{x}{5}+\left(\dfrac{x}{5}-8\right)\left(\dfrac{x}{5}-8\right)\right)e^{0{,}1x^2-8x-6{,}3} \cr\cr &=& \dfrac{\left(x^2-75x+1.600\right)}{25}e^{0{,}1x^2-8x-6{,}3} \end{array}