Lagrange multiplier help please

  • Thread starter peace89
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Let f(x,y)= -2x^2-2xy+y^2+2 Use Lagrange multipliers to find the minimum of f subject to the constraint 4x-y = 6

∂F / ∂x =.....................
i got -4x-2y+2y but i coming out as wrong what am i missing
∂F/ ∂Y= ................

The function f achieves its minimum, subject to the given constraint, where
x =
y =
λ=
f =
thank you
 
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  • #2
LCKurtz
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Quoting from the forum rules:

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thanks just sign up here so dont know how things work here. learning
 
  • #4
Pyrrhus
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Let f(x,y)= -2x^2-2xy+y^2+2 Use Lagrange multipliers to find the minimum of f subject to the constraint 4x-y = 6

∂F / ∂x =.....................

∂F/ ∂Y= ................

The function f achieves its minimum, subject to the given constraint, where
x =
y =
λ=
f =
thank you

Set up your Lagrangean with the equality constraints.

This is a nonlinear program with equality constraints and thus it should be straightforward.

Apply your first order conditions.

Notice you don't need to check the second order conditions (Why?)
 

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