Examples for optimization subject to inequality constraints, Kuhn-Tucker
Two examples for optimization subject to inequality constraints, Kuhn-Tucker necessary conditions, sufficient conditions, constraint qualification
Errata: At 17:32, (6/5, 8/5) is the only candidate point; (6/5, -8/5) does not satisfy the equation 4-2\lambda_1 y=0. At 46:55, (0,0) is not a candidate point, since it contradicts y larger than 2. At 50:56, it should be +26, not -26.