4*(1/450868486864896*λ^(11/3))^(1/5)+ 6*(1/ 812479653374328*λ^(13/4))^(1/5)-720=0
well this is the equation after i get x and y and now i am pretty sure i did something wrong...
1. Homework Statement
f(x,y) = x^(1/4)*y^(1/3), g(x,y) = 4*x +6*y=720
sorry i had a mistake before
2. Homework Equations
∇f=λ∇g
y^(1/3)/(4*x^(3/4))= 4*λ
x^(1/4)/(3*y^(2/3))= 6*λ
these are partial derivations, and we want to express y just with lambda and here is something that really...
L ( x , y ) = x^(1/4) + y^(1/3) + λ ( 4*x + 6*y − 720 )
I am not able to partialy derivate this equation, it always has weird numbers and after that i am not able to continue because i don't understand L. multiplier very well.
Guys, i would be really greatfull if someone help me with this because i really don't know how to deal with this math problem: Find the maximum and minimum values of f = x^(1/4) + y^(1/3) on the boundary of g = 4*x+ 6*y = 720.
Please help me someone, i am desperate from this :(