Lagrange multipliers example problem:
https://youtu.be/sSwKKFORPFM
Explanation of directional derivatives and gradient being perpendicular to contour lines:
https://youtu.be/v98uipDYuqU
Explanation of the dot product:
https://youtu.be/y-kafkvDkFg
Lagrange multipliers are extremely useful for constrained optimization problems. Here we go over the basics of a proof of the method!
Full Valuable Vector Calculus playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHgsWPng59fFFoqn183aO-1
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