Wir wissen also b=0; d=2 und a+b+c+d=4 => a+0+c+2=4 => a+c=2 => c=2-a 3a+2b+c=0 => 3a+c=0 c=2-a eingesetzt in 3a+c=0, ergibt 3a+2-a=0 2a+2=0 a=-1 => c=2-(-1)=2+1=3 Also lautet die Funktionsgleichung f(x)=-x³+3x+2. Fassen wir zusammen: c=0, d=2, 3a+2b+c=1 => 3a+2b+0=1 => 3a+2b=1 => 2b=1-3a => b=(1/2)(1-3a) a+b+c+d=4 => a+(1/2)(1-3a)+0+2=4 => a+(1/2)-(3/2)a+2=4 => -(1/2)a=3/2 => a=-3 b=(1/2)(1-3a)=(1/2)(1-3*(-3))=(1/2)(1+9)=5. Aufg. 2) f(x)=ax³+bx²+cx+d mit den entsprechenden Ableitungen. Zusammengefasst gilt nun: c=d=0 8a+4b+2c+d=2 => 8a+4b=2 => 4b=2-8a 12a+4b+c=1 =>12a+2-8a+0=1 => 4a+2=1 => 4a=-1 => a=-1/4 => 4b=2-8a=2+8/4=2+2=4 => b=1. b) versuch's mal selber Bei Problemen melde dich noch mal.
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