TeX Quellcode:

\begin{array}{rclll} f'(t) &=& \dfrac{3t^4-10t^3+9t^2}{(t-1)^2} \cr \cr 0 &=& \dfrac{t^2\left(3t^2-10t+9\right)}{(t-1)^2} \cr 0 &=& t^2\left(3t^2-10t+9\right) \cr t &=& 0 \cr 3t^2-10t+9 &=& 0 &\vert & :3 \cr t^2-\dfrac{10}{3}t+3 &=& 0 &\vert & \text{p-q-Formel} \cr t_{1,2} &=& \dfrac{5}{3}\pm\sqrt{\left(\dfrac{5}{3}\right)^2-3} \cr t_{1,2} &=& \dfrac{5}{3}\pm\sqrt{-\dfrac{2}{9}}\end{array}