TeX Quellcode:

\begin{array}{rcl}f'(x) & = & \dfrac{1}{3} \cdot \left(h(x)\right)^{-\frac{2}{3}} \cdot h'(x) - 0\\\\& = & \dfrac{1}{3}\left(x^5 \cdot \tan(x)\right)^{-\frac{2}{3}} \cdot \left(5x^4 \cdot \tan(x) + x^5 \cdot \dfrac{1}{\left(\cos(x)\right)^2}\right) - 0\\\\& = & \dfrac{5x^4 \cdot \tan(x) + \frac{x^5}{\left(\cos(x)\right)^2}}{3 \sqrt[3]{\left(x^5 \cdot \tan(x)\right)^2}}\end{array}