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# Section 13.10 - If you have two constraint functions g and...

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Section 13.10 Lagrange Multipliers

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Theorem 13.19 Lagrange's Theorem
Method of Lagrange Multipliers

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Example Use Lagrange Multipliers to find the indicated extrema, assuming that x and y and z are positive. 1) Minimize Subject to the constraint: 2) Maximize Subject to the constraint: 10 3 ) , ( + + = y x y x f 6 2 = y x xyz z y x f = ) , , ( 0 6 = - + + z y x
What if you have two constraints?
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Unformatted text preview: If you have two constraint functions, g and h, you can introduce a second Lagrange multiplier and then solve the equation Maximize Subject to Assume x,y,and z are nonnegative. μ h g f ∇ + ∇ = ∇ λ xyz z y x f = ) , , ( 2 5 2 2 =-= + y x y x...
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Section 13.10 - If you have two constraint functions g and...

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