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