TeX Quellcode:

\begin{array}{rcl} f'_{yz}(x,y,z) &=& 150\left(x+yz\right)^{-\frac{1}{2}}+150z\cdot \left(-\dfrac{1}{2}\right)(x+yz)^{-\frac{1}{2}-1}\cdot y \\\\ &=& 150\left(x+yz\right)^{-\frac{1}{2}}-75yz{(x+yz)^{-\frac{3}{2}}}\\\\ &=& \dfrac{150}{\sqrt{x+yz}}-\dfrac{75yz}{\left(\sqrt{x+yz}\right)^3}\end{array}