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I. Differentiation – 2. Partielle afledede 38 2.7. Skrives forskelligt ☞ [S] 11.3 Partial derivatives Notation Ses også ∂f (x,y) = fx(x,y) ∂x ∂f (x,y) = fy(x,y) ∂y fx(x,y) = f1(x,y) fy(x,y) = f2(x,y) 2.8. Nemt at aflede ☞ [S] 11.3 Partial derivatives Eksempel 1 Funktionen f(x,y) = x 3 + x 2 y 3 − 2y 2 har partielle afledede fx(x,y) = 3x 2 + 2xy 3 fy(x,y) = 3x 2 y 2 − 4y
I. Differentiation – 2. Partielle afledede 39 2.9. Graf uden kanter ☞ [S] 11.3 Partial derivatives Figur - Eksempel 1 z x 0 f(x,y) = x 3 + x 2 y 3 − 2y 2 2.10. Nyttige regler ☞ [S] 11.3 Partial derivatives Morale for Partielle afledede (1) fx beregnes ved at holde y fast og differentiere med hensyn til x. (2) fy beregnes ved at holde x fast og differentiere med hensyn til y. y
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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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