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I. Differentiation – 6. Maksimum/minimum 116 En funktion f : D → R har et absolut minimum i punktet (a,b), hvis der for alle (x,y) ∈ D gælder f(x,y) ≥ f(a,b) f(a,b) er en absolut minimumsværdi i D. 6.6. Absolut maksimum/minimum ☞ [S] 11.7 Maximum and minimum values Eksempel Funktion f : R 2 → R givet ved opfylder f(x,y) = 1 x 2 + y 2 + 1 f(x,y) ≤ f(0,0) = 1 Altså har f et absolut maksimum i punktet (0,0) med en absolut maksimumsværdi på 1. Der er ikke noget absolut minimumspunkt. 6.7. Lokalt maksimum/minimum ☞ [S] 11.7 Maximum and minimum values Niveaukurver
I. Differentiation – 6. Maksimum/minimum 117 y 1 2 3 4 Aflæs: lokalt maksimumspunkt i (3,3) med maksimumsværdi 4. 6.8. Absolut maksimum/minimum ☞ [S] 11.7 Maximum and minimum values Sprogbrug For lokalt/absolut maksimum eller minimum bruges betegnelser • lokalt ekstremum • lokal ekstremumsværdi • absolut ekstremum • absolut ekstremumsværdi 1 1 x
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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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II. Integration - 1. Dobbelt integr
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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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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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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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VIII. Appendiks - 1. Polære koordi
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IX. Opgaver - 1. August 2002 524 1.
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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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