TeX Quellcode:

\begin{array}{rcl}\mathbb{D}&=&]0;+\infty[ \cr \cr f(x) &=& \dfrac{1}{6} \cdot x^{-\frac{1}{2}} \cr\cr\cr f'(x) &=& \dfrac{1}{6} \cdot \left(-\dfrac{1}{2}\right) \cdot x^{-\frac{1}{2}-1} \cr\cr &=& -\dfrac{1}{12} \cdot x^{-\frac{3}{2}} \cr\cr &=& -\dfrac{1}{12} \dfrac{1}{\sqrt{x^3}} \cr\cr &=& -\dfrac{1}{12\sqrt{x^3}} \end{array}