- #1
mikeyrichster
- 9
- 0
Find all critical and stationary points of the function f(x,y)=x^3-y^2 subject to the inequality constraint c(x,y)=1-x^2-y^2 >=0
So far I've deduced that I need to use a lagrange multiplier L say, so i think i need to solve the equations :
3x^2=-2Lx
-2y^2=-2Ly
and
1-x^2-y^2 >=0
Is that correct? I'm finding it hard to solve as the 1st and second EQ only have one variable other than the multiplier..
any help would be appreciated!
So far I've deduced that I need to use a lagrange multiplier L say, so i think i need to solve the equations :
3x^2=-2Lx
-2y^2=-2Ly
and
1-x^2-y^2 >=0
Is that correct? I'm finding it hard to solve as the 1st and second EQ only have one variable other than the multiplier..
any help would be appreciated!