TeX Quellcode:

\begin{array}{cclcrcl}\quad\mathbb{D} &=& \mathbb{R}\\\\f(k) &=& \dfrac{5}{4}k^{12}\cdot e^k-1 \\\\\quad u(k) &=& \dfrac{5}{4}k^{12} &\Rightarrow & u'(k) &=& 15k^{11} \\\quad v(k) &=& e^k &\Rightarrow &v'(k) &=& e^k \\\\f'(k) &=& 15k^{11}\cdot e^k+\dfrac{5}{4}k^{12}\cdot e^k \\\\&=& k^{11}e^k\left(15+\dfrac{5}{4}k\right)\end{array}