New PDF release: Analysis für Fachoberschulen: Lösungsheft

New PDF release: Analysis für Fachoberschulen: Lösungsheft

By Karl-Heinz Pfeffer

?ber den Autor/Hrsg
StD 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 dsa Lehramt an berufsbildenden Schulen.

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Extra info for Analysis für Fachoberschulen: Lösungsheft

Example text

Y:( - tan 2x - x 2 sin x d) yl= 2x + sin 2x x 2 sin 2 x 1') yl= 2 + sin x cos 2x 2 3 g) yl= 2 sin x. h. die klas~ sische Sinuskurve wird in y-Richtung gestrecl~.

Y .. c) y' x -1 e) y' .. 2· 2"'":"' x +1 2 h) y' .. 2x ~x-22 (x_2)2 8x 3 k) y' 4 - (x +1)2 1 ='"3 c) x x 1 2 a) y' =-2~Y"=3 x x 2 2 c) y , = x +2x2 9> y " .. Cx+1)3 Cx+1) 1 a) y' .. ;. x - 8x '"' (x 2 _ 4) _ 2x2~2-x22 i) y' 2 (1 - x 2 ) 1 1) y' = "Vx(1 _VX)2 n-1 d) y' =- n·x x2n b) y' = -(X;2) x 2+ 1 x d) y' .. 1)3 ~y ".. 2 ex + 1)3 3 ~,,-2x -4x y .. (x 2 _1 )3 1 b) y' .. n x ~x+ ~ B1 (o/-1), t 1 =y=-2x-1; B2 (2/3), t 2=y=-2x+7 53 y c) - .... g. Abszissen ergeben. ;>y' = (4x +1) = JR~--v3; c) y' _ [email protected])2C5x2_4x+1) (1_3x 2 )5 2 2 2 2 f) y'.

A=-1 d) Problem fuhrt auf a 3 +2a 2 _1 = o4--~(a+1 ) (a 2+a-1 ) '" 0; a = -1va== -1 ,62va = 0,62. 51 a) y s d) Y == ~ x4 + C ;x:vx + b) y = C g) y=2VX+ C C + x 13<:; a) y =- 3' x + ~ 3 2 0) Y == x -x +x+1 J. 22. jx3+c i) y= - 1. x + C k) 2 1 C 1) y= ~xVx + ln Ixl+C y = -

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