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I. Differentiation – 6. Maksimum/minimum 132 z x 6.33. Kassefabrikant ☞ [S] 11.7 Maximum and minimum values Eksempel 6 Relevante punkter, x,y > 0, fås for 12 − 2xy − x 2 = 0, 12 − 2xy − y 2 = 0 ⇔ y
I. Differentiation – 6. Maksimum/minimum 133 Altså 12 − 2xy − x 2 = 0, x = y ⇔ 12 − 3x 2 = 0, x = y ⇔ (x,y) = (2,2) (x,y) = ±(2,2) 6.34. Kassefabrikant ☞ [S] 11.7 Maximum and minimum values Eksempel 6 - fortsat Vx = y2 (12 − 2xy − x2 ) 2(x + y) 2 , Vy = x2 (12 − 2xy − y2 ) 2(x + y) 2 Vxx = y2 (−2y − 2x)2(x + y) 2 − y 2 (12 − 2xy − x 2 )4(x + y) 4(x + y) 4 Vyy = x2 (−2y − 2x)2(x + y) 2 − x 2 (12 − 2xy − y 2 )4(x + y) 4(x + y) 4 Vxy = (24y − 6xy2 − 2x 2 y)2(x + y) 2 − y 2 (12 − 2xy − x 2 )4(x + y) 4(x + y) 4 6.35. Kassefabrikant ☞ [S] 11.7 Maximum and minimum values Eksempel 6 - fortsat Vx(2,2) = 0, Vy(2,2) = 0
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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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V. Matricer - 4. Determinanter = (
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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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