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I. Differentiation – 6. Maksimum/minimum 120 z z x y lokalt maksimum x y Saddelpunkt 6.13. Find ekstremumspunkter ☞ [S] 11.7 Maximum and minimum values Eksempel 1 har kritisk punkt Omskrivningen f(x,y) = x 2 + y 2 − 2x − 6y + 14 ∇f(x,y) = (2x − 2,2y − 6) = 0 ⇔ (x,y) = (1,3) f(x,y) = (x − 1) 2 + (y − 3) 2 + 4 viser, at (1,3) er et absolut minimum på D = R 2 .
I. Differentiation – 6. Maksimum/minimum 121 6.14. Absolut minimum ☞ [S] 11.7 Maximum and minimum values Eksempel 1 - figur z x Absolut minimum i (1,3) 6.15. Find ekstremumspunkter ☞ [S] 11.7 Maximum and minimum values Eksempel 2 f(x,y) = y 2 − x 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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I. Differentiation - 2. Partielle a
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II. Integration - 1. Dobbelt integr
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II. Integration - 3. Generelle omr
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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 - 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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IX. Opgaver - 5. Januar 2005 594 (t
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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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