Lagrange Multipliers, Constrained Optimization - Calculus 3

This video explains how Lagrange multipliers can be used to obtain the extreme values of a function subject to one or two constraints, including the behaviour of the gradient vectors at an extreme value (minimum or maximum), and worked example practice problems involving optimisation along a curve that may be formed by two intersecting surfaces.

0:00 Lagrange multipliers
11:31 Optimisation with two constraints
21:43 Worked examples