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I. Differentiation – 3. Tangentplan 54 til grafen En ligning for tangentlinjen er x ↦→ (x,f(x)) y − b = f ′ (a)(x − a) 3.4. Find tangentlinjen ☞ [S] 2.7 Derivatives Eksempel 2 Find ligningen for tangentlinjen til y = x 2 − 8x + 9 i punktet (3, −6). Den afledede er y ′ = 2x − 8, y ′ (3) = −2 Ligningen for tangentlinjen er eller y − (−6) = (−2)(x − 3) y = −2x 3.5. Tangentplan ☞ [S] 11.4 Tangent planes and linear approximations
I. Differentiation – 3. Tangentplan 55 Figur y 0 D (x,y) x D ⊂ R 2 , f : D → R f(x,y) 3.6. Tangentplan ☞ [S] 11.4 Tangent planes and linear approx. Definition Tangentplanen til grafen for en funktion z = f(x,y) i et punkt (x0,y0,z0), z0 = f(x0,y0) er planen gennem (x0,y0,z0), som indeholder tangentvektorerne (1,0,fx(x0,y0)), (0,1,fy(x0,y0))
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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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 - 4. Determinanter 419
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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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