TeX Quellcode:

\begin{array}{crclll} & f'(x) &=& \left(-16x^3+9x\right) \cdot 10^{10^{-8x^4+9x^2}} \cr \cr & 0 &=& -x\left(16x^2-9\right) \cdot 10^{10^{-8x^4+9x^2}} &\vert& :10^{10^{-8x^4+9x^2}} \cr & 0 &=& -x\left(16x^2-9\right) &\vert& \text{Satz vom Nullprodukt} \cr\text{Faktor 1:} & x_1 &=& 0 \cr\cr \text{Faktor 2:} & 0 &=& 16x^2-9 &\vert & +9 \cr & 9 &=& 16x^2 &\vert & :16 \cr & \dfrac{9}{16} &=& x^2 &\vert & \pm\sqrt{} \cr & x_2 &=& \dfrac{3}{4} \cr & x_3 &=& -\dfrac{3}{4} \end{array}