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2)Extrems:f’(x)=0;->f’’xWert einse.<0=H,>0=T;f orig x eins=y
3)Monotonie ][
4)Wende:f’’=0,x in org; (x in f’’’≠0)
5)Krü:pL=f’’(x)>0;nR
6)y-Ach:f(x)=f(-x) gerade f;Pktsy z Ur:f(-x)=f(x) ung f
f(x)=Extrem f’(x)=Nullst
f(x)=Wende f’(x)=Extre
f(x)=fällt f’(x)=neg Ber.
f(x)=steig f’(x)=pos Ber.
Sekante:2Pkt k=◬y/◬x d gl
Diialqu:T(t)=20+0,1*t^2 T’(4)->s(t0+◬t)-s(t0)/◬t -> 0,1*(4-◬t)^2-0,1*4^2/◬t ….0,8+◬t =1.Abl.
Tangent:f’ v xwert=k d gl
G(x)=E(x)-K(x)
E(x)=p(x)*x od G(x)+K(x)
Kkehre=Wende
progr Wachs=2.Abl steig>0 pos
degr Wachs=2.Abl fall<0 neg
Fixkost=Schnpkt K(x) yA
Gschwel:1.Schpkt K&E
Ggrenz:2.Schpkt K&E
gewmax meng:max G zw Gs&Gg
Grenzk