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I. Differentiation – 5. Gradient 90 5.6. Retningsafledt ☞ [S] 11.6 Directional derivatives and the . . . 2 Definition - figur y 1 1 0 (x0, y0) hu = (x0 + ha, y0 + hb) 1 1 u = (a, b) 5.7. Retningsafledt direkte ☞ [S] 11.6 Directional derivatives and the . . . Eksempel Den retningsafledede af funktionen f(x,y) = x2 +y i punktet (1,1) i retningen u = ( 3 4 5 , 5 ) beregnes x
I. Differentiation – 5. Gradient 91 direkte Duf(1,1) = lim h→0 f(1 + 3 5 (1 + = lim h→0 3 = lim h→0 = 2 4 h,1 + 5h) − f(1,1) h 5h)2 + 1 + 4 5 h 9 6 4 h + + 25 5 5 h − 2 5.8. Retningsafledt ☞ [S] 11.6 Directional derivatives and the . . . Eksempel - figur
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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 - 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 - 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 - 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 - 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 - 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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