TeX Quellcode:

\begin{array}{rcl}g(h(x)) & = & (h(x))^\frac{1}{3} \\g'(h(x)) & = & \dfrac{1}{3} \cdot \left(h(x)\right)^{-\frac{2}{3}}\\\\h(x) & = & u(x) \cdot v(x) \\ &=& x^5 \cdot \tan(x)\\h'(x) & = & (u(x) \cdot v(x))' \\ &=& u'(x) \cdot v(x) + u(x) \cdot v'(x)\\\\u(x) & = & x^5\\u'(x) & = & 5x^4\\\\v(x) & = & \tan(x)\\v'(x) & = & \dfrac{1}{\left(\cos(x)\right)^2}\end{array}