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I. Differentiation – 5. Gradient 96 y u (cos ,sin ) 5.14. Retningsafledt ☞ [S] 11.6 Directional derivatives and the . . . Eksempel 2 Den retningsafledede af f(x,y) = x 3 − 3xy + 4y 2 i punktet (x,y) i retning π 6 er Specielt er Duf(x,y) = fx(x,y)cos π π + fy(x,y)sin 6 6 = (3x 2 √ 3 − 3y) + (−3x + 8y)1 2 2 Duf(1,2) = −3√ 3 2 1 x + 13 2
I. Differentiation – 5. Gradient 97 5.15. Retningsafledt ☞ [S] 11.6 Directional derivatives and the . . . Eksempel 2 - figur z x 1 (1,2,0) /6 u Retning π/6 5.16. Retningsafledt, prikprodukt ☞ [S] 11.6 Directional derivatives and the . . . Bemærkning Den retningsafledede af f(x,y) i punktet (x,y) i retning af en enhedsvektor u = (a,b) kan ved brug af prikproduktet skrives 7 Duf(x,y) = fx(x,y)a + fy(x,y)b 1 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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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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