TeX Quellcode:

\begin{array}{rcl}f'_y(x,y,z) &=& \frac{3}{2}\cdot\dfrac{1}{2}x^2y^{\frac{1}{2}-1}z^3+4\cdot 2x^{\frac{1}{3}}y^{2-1}\\\\&=& \dfrac{3}{4}x^2y^{-\frac{1}{2}}z^3+8x^{\frac{1}{3}}y^1\\\\&=& \dfrac{3x^2z^3}{4\sqrt{y}}+8x^{\frac{1}{3}}y\end{array}