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Unformatted text preview: Uses(important item on its own) Second derivative along lines in terms of partial derivative of the function Also, second derivatives along curves in general(get extra term from accelerationinvolves curvature, cf. homework problem and solution handed out) Lagrange multipliers: method of finding local max or min points of function G of two or three(or more) variables with variable subject to a Constraint F=0. Condition: Local max or min subject to the constraint implies that At the point grad F and grad G have the same direction(assume grad F is not 0, then grad G has to be a multiple of grad F). Why this is true! Laplacian in polar coordinates and changing second derivatives in one coordinate system to another....
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This note was uploaded on 04/06/2012 for the course MATH 32A 32A taught by Professor Moshchovakis during the Winter '10 term at UCLA.
- Winter '10