Hej, här kommer min uppgift 3 ifrån Mathematica-labben:

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:
\[\frac{2 \left(1-x^2\right) y-2 y}{\left(x^2+y^2+1\right)^2}-\frac{4 y \left(\left(1-x^2\right) \left(y^2-4\right)-x^2-y^2+5\right)}{\left(x^2+y^2+1\right)^3}\]
MVH Oze12345/Oscar Suneson