TeX Quellcode:

\begin{array}{rcl}f'_{xx}(x,y,z) &=& 3y^{\frac{1}{2}}z^3-\dfrac{4}{3}\cdot\dfrac{2}{3}x^{-\frac{2}{3}-1}y^2\\\\&=& 3y^{\frac{1}{2}}z^3-\dfrac{8}{9}x^{-\frac{5}{3}}y^2\end{array}