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I. Differentiation – 3. Tangentplan 52 3. Tangentplan 3.1. Oversigt ☞ [S] 2.7, 2.9, 11.4 Nøgleord og begreber ✌ Tangentlinje for graf ✌ Tangentplan for graf ✌ Test tangentplan ✌ Lineær approximation i en og flere variable ✌ Test approximation ✌ Differentiabilitet i flere variable ✌ Differentialet af en funktion ✌ Test differentialet 3.2. Tangentlinje ☞ [S] 2.7 Derivatives
I. Differentiation – 3. Tangentplan 53 Figur y (a, f(a)) y = f(a) + f ′ (a)(x a) I ⊂ R, f : I → R 3.3. Ligning for tangent ☞ [S] 2.7 Derivatives Definition Tangentlinjen for grafen for en funktion y = f(x) i et punkt (a,b), b = f(a) er linjen gennem (a,b), som indeholder tangentvektoren (1,f ′ (a)) f(x) x
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I. Differentiation - 5. Gradient 10
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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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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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