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One of my favorite proofs: Lagrange multipliers

One of my lightbulb moments in college was when my professor, Jim Vick, explained the Lagrange multiplier theorem. The way I’d seen it stated in a calculus text gave me no feel for why it should be true, but his explanation made sense immediately. Suppose f(x) is a function of several variables, i.e. x is a vector, and g(x) = c […]
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