TeX Quellcode:

\begin{array}{rcl}\mathbb{D}&=&]0;\infty[ \cr \cr f(x) &=&5\cdot x^{\frac{1}{4}}-x+1 \cr\cr\cr f'(x) &=& 5\cdot \dfrac{1}{4} \cdot x^{\frac{1}{4}-1}-1 \cdot x^{1-1}+0 \cr\cr &=& \dfrac{5}{4} \cdot x^{-\frac{3}{4}}-1 \cr\cr &=& \dfrac{5}{4\sqrt[4]{x^3}}-1 \end{array}