TeX Quellcode:

\begin{array}{rcl} f'_{xx}(x,y,z) &=& \dfrac{272xz^2 \cdot\left(17x^2+y^2\right)^2-\left(136x^2z^2-8y^2z^2\right)\cdot 2(17x^2+y^2)\cdot 34x}{\left(\left(17x^2+y^2\right)^2\right)^2} \\\\&=& \dfrac{\left(17x^2+y^2\right)\left[272xz^2 \cdot\left(17x^2+y^2\right)-\left(136x^2z^2-8y^2z^2\right)\cdot 2\cdot 34x\right]}{\left(17x^2+y^2\right)^4} \\\\&=& \dfrac{272xz^2 \cdot\left(17x^2+y^2\right)-\left(136x^2z^2-8y^2z^2\right)\cdot 2\cdot 34x}{\left(17x^2+y^2\right)^3} \\\\&=& \dfrac{4.624x^3z^2+272xy^2z^2-9.248x^3z^2+544xy^2z^2}{\left(17x^2+y^2\right)^3} \\\\ &=& \dfrac{-4.624x^3z^2+816xy^2z^2}{(17x^2+y^2)^3}\end{array}