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I. Differentiation – 1. Kontinuitet 18 y Niveaukurver for f(x,y) = −y 1 + x 2 + y 2 1.14. Udvid til mange variable ☞ [S] 11.1 Functions of several variables Eksempel 11 Omtalen af funktioner i to variable udvides umiddelbart til tre eller flere variable. Udtrykket f(x,y,z) = ln(z − y) + xy sin(z) x
I. Differentiation – 1. Kontinuitet 19 er en funktion i tre variable, defineret på definitionsmængden Værdimængden er D = {(x,y,z) ∈ R 3 |z > y} f(D) = R 1.15. Goddag igen til grænseværdier ☞ [S] 11.2 Limits and continuity 1 Definition Grænseværdien af f(x,y) i et punkt (a,b) skrives eller lim f(x,y) = L (x,y)→(a,b) f(x,y) → L for (x,y) → (a,b) når f antager værdier vilkårligt tæt på L, bare (x,y) er tilstrækkeligt tæt på (a,b). 1.16. Helt præcist ☞ [S] Appendix D - Functions of two variables 5 Definition Grænseværdien lim f(x,y) = L (x,y)→(a,b)
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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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