1ls3_lectures181920

F c is a local rela3ve minimum of f if

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Unformatted text preview: , 3rd, and 5th degree Taylor polynomials for f ( x sin x near x=0. ) = € The Taylor Polynomial P1( x ) = x 1.5 1 1 1 P5 ( x ) = 5! x 5 − 3! x 3 + 1! x 1 € 0.5 € -5 -4 -3 -2 -1 0 1 2 3 4 5 -0.5 f ( x ) = sin x -1 1 1 P3 ( x ) = − 3! x 3 + 1! x € -1.5 € Maximum and Minimum Values f ( is a global (absolute) maximum of f if c ) ( f c ) ≥ f ( x ) for all x in the domain of f . € f (c ) is a local (rela3ve) maximum of f...
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This note was uploaded on 03/03/2014 for the course MATH 1LS3 taught by Professor Lovric during the Winter '09 term at McMaster University.

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