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IX. Opgaver – 1. August 2002 534 Dobbelt partielle afledede fxx = 2 xy3 fxx(1,1) = 2,fxy(1,1) = 1,fyy(1,1) = 2 x3y ,fxy = 1 x2y2 ,fyy = 2 Anden ordenstesten giver (a,b) f(a,b) fxx(a,b) D(a,b) Type (1,1) 3 2 3 minimum Altså er punktet (1,1) lokalt minimum for f på mængden x > 0,y > 0. 1.20. Bestem ekstrema ☞ Matematik Alfa 1, August 2002 Opgave 3 - figur
IX. Opgaver – 1. August 2002 535 z x 1.21. Angiv potensrække ☞ Matematik Alfa 1, August 2002 Opgave 4 Angiv en potensrække i x, der for x = 0 fremstiller funktionen (1,1) f(x) = cos(x2 ) − 1 x 4 y
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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I. Differentiation - 2. Partielle a
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I. Differentiation - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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I. Differentiation - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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IV. Differentialligninger - 2. 1. o
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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V. Matricer - 3. Lineære ligninger
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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VI. Egenvektorer og diagonalisering
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VII. Skalarprodukt og projektion -
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IX. Opgaver - 4. August 2004 586 vi
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IX. Opgaver - 5. Januar 2005 592 De
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IX. Opgaver - 5. Januar 2005 594 (t
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IX. Opgaver - 5. Januar 2005 596 L
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IX. Opgaver - 5. Januar 2005 598 De
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IX. Opgaver - 5. Januar 2005 600 Gr
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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etningsafledede, 89, 102 retningsfe
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