TeX Quellcode:

\begin{array}{rclll} \mathbb{D} &=& \mathbb{R} \cr\cr f'(x) &=& \dfrac{1}{2 \cdot \ln(10)} \cdot 10^{-8x^4+9x^2} \cdot \left(-32x^3+18x\right)\cdot \ln(10) \cr\cr &=& \left(-16x^3+9x\right) \cdot 10^{-8x^4+9x^2} \cr\cr\cr f''(x) &=& \left(-48x^2+9\right) \cdot 10^{-8x^4+9x^2} + \left(-16x^3+9x\right) \cdot 10^{-8x^4+9x^2} \cdot \left(-32x^3+18x\right)\cdot \ln(10)\cr\cr &=& \left(\left(-48x^2+9\right) + \left(-16x^3+9x\right) \left(-32x^3+18x\right)\ln(10)\right)\cdot 10^{-8x^4+9x^2} \cr\cr &=& \left(\left(512x^6-576x^4+162x^2\right)\ln(10)-48x^2+9\right)\cdot 10^{-8x^4+9x^2} \end{array}