TeX Quellcode:

\begin{array}{rcl}\mathbb{D}&=&]0;\infty[ \cr\cr f'(x) &=& 25 \cdot 4 \cdot x^{4-1} -66 \cdot \dfrac{1}{3} \cdot x^{\frac{1}{3}-1}-17\cdot \dfrac{3}{2} \cdot x^{\frac{3}{2}-1} +0 \cr \cr &=& 100x^3-22x^{-\frac{2}{3}}-\dfrac{51}{2}x^{\frac{1}{2}} \cr \cr &=& 100x^3-\dfrac{22}{\sqrt[3]{x^2}}-\dfrac{51}{2}\sqrt{x} \end{array}