TeX Quellcode:

\begin{array}{rcl}\mathbb{D}&=&]0;\infty[ \cr \cr f(x) &=& 3x^{\frac{1}{2}}-7 \cr \cr \cr f'(x) &=& 3 \cdot \dfrac{1}{2} \cdot x^{\frac{1}{2}-1}-0 \cr \cr &=& \dfrac{3}{2} \cdot x^{-\frac{1}{2}} \cr \cr &=& \dfrac{3}{2} \cdot \dfrac{1}{x^\frac{1}{2}} \cr \cr &=& \dfrac{3}{2\sqrt{x}}\end{array}