TeX Quellcode:

\begin{array}{rcl}f'_{xx}(x,y) &=& 3y\cdot e^{3xy-23}\cdot3y-\dfrac{1}{2}y\cdot\dfrac{1}{2}x^{-\frac{1}{2}-1}\\\\&=& 9y^2e^{3xy-23}-\dfrac{1}{4}yx^{-\frac{3}{2}}\\\\&=& 9y^2e^{3xy-23}-\dfrac{y}{4\sqrt{x^3}}\end{array}