TeX Quellcode:

\begin{array}{rcl} f'_{zz}(x,y,z) &=& -10\pi x^2\sin\left(7y^5\right)e^{-10xz-1}\cdot (-10x) \\\\&=& 100\pi x^3\sin\left(7y^5\right)e^{-10xz-1} \\\\&=& \dfrac{100\pi x^3\sin\left(7y^5\right)}{e^{10xz+1}}\end{array}