By Karl-Heinz Pfeffer (auth.)

ISBN-10: 332291898X

ISBN-13: 9783322918987

ISBN-10: 3528642416

ISBN-13: 9783528642419

Buchhandelstext
Das Unterrichtswerk zur research ist ein Lehr- und Arbeitsbuch f?r Fachoberschulen. Es ber?cksichtigt in besonderem Ma?e die unterschiedlichen mathematischen Vorkenntnisse der Fachobersch?ler. Das L?sungsheft enth?lt die Ergebnisse der Aufgaben des Lehrbuches und ist somit f?r das ?ben unentbehrlicher Bestandteil der Selbstkontrolle.

Inhalt
Die reellen Zahlen - Funktionenlehre - Folgen und Reihen - Grenzwert von Funktion - Stetigkeit - Differentialrechnung - Integralrechnung - Vertiefung der Differentialrechnung

Zielgruppe
Sch?ler der Fachoberschule in den Klassen eleven und 12

?ber den Autor/Hrsg
Studiendirektor Karl-Heinz Pfeffer hat langj?hrige Unterrichtspraxis an einer Fachoberschule Technik in Hannover, unterrichtet am dortigen Fachgymnasium Technik und ist Fachleiter f?r Mathematik am Studienseminar Hannover f?r das Lehramt an berufsbildenden Schulen.

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Additional info for Analysis für Fachoberschulen: Lösungsheft (gültig ab 4. Auflage 1998)

Sample text

YA = - X; x p = - 2 f) 1 . Fall : x > 0 N1 ,2 (1/0); T(1 / 0); k ein 'tlp; YA = x-2 j x p = 0 2 . Fall : x < 0 X ,. 0 ke ine Nullstellej T ( - 1 /4) , kein y 1 1 I " I I "," 1 , p I~"~ /' " )' I I I I I I I lI. x x Die Graphe n von f 2 - f 5 verlaufen - ent= spre chend o . g . 2. :\ - 4 ' x p - . Graph schneidet Asympt o te in 8( - 4/- 3) , prir;zipiell v e rl ä uft er wie der von f 1 ' c ) 8(0/6); N(2/0); ~ ( -4/6); W (8/- 4 , 67); Y A = - tx+~; x p = - 1 , Graph ~chneidet die Asymptote in N(2/0) und verläuft prizipiell wie der von f 1 , d) 8(0/ - ~); 1( +1/0); HC - 5/- 8) j 'WpC7/6 .

T··· ··· {·······~· ····_· ~" '" .. ,. i'" . ,..... ~ ...... ........ 112 .. • ,~ ••• ••• ~ •••• -. ) b) 6,35% bzw. 115 a) f(t) = 5,7Mrd. 0151 b) 8,93938 Mrd. 117 a) A = In2/4,5 109 ~ 1,5410-10 1/Jahre b) ~ 65,3 Mio. JR...... E...... lR ..... ± 2 P12 c) XE.

32 N1 ( - 2/0) , N2 •3 (1/0); T(1/0) ; Wp C2/1); Y A. = x , xp = 0, Graph schneidet d i e Asympt ote in S(~/ ~). 6. mit 3. = b = 5 , 86 m; c = 8 , 28 m. 2 _ g x 1 + Si~ x a) ° a) 0 2 x <==> tan 'f = = lim Si~ x x--o - x - b) ° ~ y'(xo)=lim x-xc ~ c) 2 b) 2 b) 2 :J1:12 -x x lim x--o 3 d) - c) - 2 1 d) - 2' - x - cos Xo Xo 1 Si~ x lim sin x x-o x e) c: 3 f) 0 f) 1 2' e) 0 , = 1. f) ~ 3' 2 x=5m + 25 e) 2 d) ; c) - 2 cos x ~o! 5 x x (x I xc) ~ x+x x-x 2s~n ' -20 . ~ ° . 41 oder vereinbarungsgemäß y 'ii a)y=tan ( 2'-X)~yl= 1 cos 2 ( ~ _ x) I = - sin x.

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Analysis für Fachoberschulen: Lösungsheft (gültig ab 4. Auflage 1998) by Karl-Heinz Pfeffer (auth.)


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