Funktionen:
\[\frac {\left (1 - x^2 \right)\left (y^2 - 4 \right) - x^2 - y^2 +
5} {\left (x^2 + y^2 + 1 \right)^2}\]
Partialderivatan m.a.p x:
\[\frac {-2 x\left (y^2 - 4 \right) -
2 x} {\left (x^2 + y^2 +
1 \right)^2} - \frac {4 x\left (\left (1 -
x^2 \right)\left (y^2 - 4 \right) - x^2 - y^2 +
5 \right)} {\left (x^2 + y^2 + 1 \right)^3}\]
Partialderivatan m.a.p y:
\[\frac {2\left (1 - x^2 \right) y -
2 y} {\left (x^2 + y^2 +
1 \right)^2} - \frac {4 y\left (\left (1 -
x^2 \right)\left (y^2 - 4 \right) - x^2 - y^2 +
5 \right)} {\left (x^2 + y^2 + 1 \right)^3}\]
//Jenny Olsson
