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Antwort 1.3:1
Aus Online Mathematik Brückenkurs 2
a)
Critical point: x = 0
Inflexion point: None
Local min: x = 0
Local max: None
Global min: x = 0
Global max: None
Strictly incr.: x 0
Strictly decr.: x 0
b)
Critical point: x = − 1 , x = 1
Inflexion point: None
Local min: x = − 3 , x = 1
Local max: x = − 1 , x = 2
Global min: x = − 3
Global max: x = − 1
Strictly incr.: [ − 3 − 1] , [1 2 ]
Strictly decr.: [ − 1 1 ]
c)
Critical point:
x = − 2 , x = − 1 , x = 2 1
Inflexion point: x = − 1
Local min: x = − 2 , x = 2
Local max: x = − 3 , x = 2 1
Global min: x = − 2
Global max: x = − 3
Strictly incr.: [ − 2 2 1 ]
Strictly decr.: [ − 3 − 2] , [ 2 1 2 ]
d)
Critical point:
x = − 2 5 , x = 2 1
Inflexion point: None
Local min:
x = − 2 5 , x = − 2 1 , x = 2
Local max:
x = − 3 , x = − 1 , x = 2 1
Global min: x = − 2 5
Global max: x = − 1
Strictly incr.:
[ − 2 5 − 1] , [ − 2 1 2 1 ]
Strictly decr.:
[ − 3 − 2 5 ] , [ − 1 − 2 1 ] , [ 2 1 2 ]