TeX Quellcode:

\begin{array}{rcl} f'_{yx}(x,y,z) &=& \dfrac{35\pi y^4\cos\left(7y^5\right)\cdot e^{10xz+1} - 35\pi xy^4\cos\left(7y^5\right)\cdot e^{10xz+1}\cdot 10z}{\left(e^{10xz+1}\right)^2} \\\\&=& \dfrac{\left(35\pi y^4-35\pi xy^4\cdot 10z\right)\cos\left(7y^5\right)\cdot e^{10xz+1}}{\left(e^{10xz+1}\right)^2} \\\\ &=& \dfrac{\left(35\pi y^4z-350\pi xy^4z\right)\cos\left(7y^5\right)}{e^{10xz+1}}\end{array}