TeX Quellcode:

\begin{array}{rcl}f'_y(x,y) &=& e^{3x}\cdot\dfrac{1}{y}-e^{2y}\cdot 2 \cdot 5x\\&=& \dfrac{e^{3x}}{y}-10xe^{2y}\\&=& e^{3x}\cdot y^{-1}-10xe^{2y}\end{array}