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I. Differentiation – 6. Maksimum/minimum 136 absolut minimum D absolut maksimum 6.39. Køreplan ☞ [S] 11.7 Maximum and minimum values 9 Bemærkning Find absolut maksimum og minimum for en kontinuert funktion f på en lukket og begrænset mængde D: 1. Find værdier af f i kritiske punkter i D 2. Find ekstremværdier af f på randen af D 3. Vælg maksimum/minimum fra 1. og 2. 6.40. Find ekstremumspunkter ☞ [S] 11.7 Maximum and minimum values Eksempel 7 Bestem ekstremumsværdier af f(x,y) = x 2 − 2xy + 2y på rektanglet D = {(x,y)|0 ≤ x ≤ 3,0 ≤ y ≤ 2}
I. Differentiation – 6. Maksimum/minimum 137 f har kritisk punkt ∇f(x,y) = (2x − 2y, −2x + 2) = 0 ⇔ (x,y) = (1,1) 6.41. Ekstremumspunkter ☞ [S] 11.7 Maximum and minimum values Eksempel 7 - figur x 3 (3,2) z 2 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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1. Grafiske/numeriske metoder IV Di
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1. Vektorer og matricer V Matricer
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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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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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