TeX Quellcode:

\begin{array}{rcl}g'_{rr}(r,t) &=& \dfrac{0\cdot \cos^2(r)-\left(-16\cdot 2\cdot\cos(r)\cdot\left(-\sin(r)\right)\right)}{\cos^4(r)}+3t\cdot te^{rt} \\\\&=& -\dfrac{32\cos(r)\cdot\sin(r)}{\cos^4(r)}+3t^2e^{rt} \\\\&=& -\dfrac{32\sin(r)}{\cos^3(r)}+3t^2e^{rt}\end{array}