L14_A
7.7 Constrained Extrema and Lagrange Multiplier
(1)Question: How to find function extrema on a limit
boundary
boundary
(2)Thm (Lagrange multiplier Theorem)
L14_B
7.7 Constrained Extrema and Lagrange Multiplier
(1)Def: The tangent plane
(2)Claim
L14_C
7.7 Constrained Extrema and Lagrange Multiplier
(1)Claim (cont.)
(2)Def: Lagrange multiplier
(3)Rmk: Discussion of critical point
L14_D
7.7 Constrained Extrema and Lagrange Multiplier
(1)Rmk: Discussion of critical point (cont.)
(2)Thm
(3)examples