Engineering Calculus Notes 340

Engineering Calculus Notes 340 - 328 CHAPTER 3. REAL-VALUED...

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328 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION The number λ is called a Lagrange multiplier . We have formulated the linear dependence of the gradients as −→ f being a multiple of −→ g , rather than the other way around, because we assume that −→ g is nonvanishing, while this formulation allows −→ f to vanish—that is, this equation holds automatically if −→ x 0 is a genuine critical point of f . We will refer to this weaker situation by saying
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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