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Svar 1.3:1
Förberedande kurs i matematik 2
(Skillnad mellan versioner)
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| Rad 104: |
Rad 104: |
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| - | ||Strängt väx.:||<math>[-\tfrac{5}{2},-1]</math>, <math>[-\tfrac{1}{2},\tfrac{1}{2}]</math> | + | | valign="top" |Strängt väx.: |
| | + | | valign="top" |<math>[-\tfrac{5}{2},-1]</math>, <math>[-\tfrac{1}{2},\tfrac{1}{2}]</math> |
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Nuvarande version
| a)
| Kritisk punkt: | \displaystyle x=0
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| Terasspunkt: | Saknas
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| Lokalt min: | \displaystyle x=0
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| Lokalt max: | Saknas
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| Globalt min: | \displaystyle x=0
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| Globalt max: | Saknas
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| Strängt väx.: | \displaystyle x\ge0
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| Strängt avt.: | \displaystyle x\le0
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| b)
| Kritisk punkt: | \displaystyle x=-1, \displaystyle x=1
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| Terasspunkt: | Saknas
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| Lokalt min: | \displaystyle x=-3, \displaystyle x=1
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| Lokalt max: | \displaystyle x=-1, \displaystyle x=2
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| Globalt min: | \displaystyle x=-3
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| Globalt max: | \displaystyle x=-1
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| Strängt väx.: | \displaystyle [-3,-1], \displaystyle [1,2]
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| Strängt avt.: | \displaystyle [-1,1]
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| c)
| Kritisk punkt:
| \displaystyle x=-2, \displaystyle x=-1, \displaystyle x=\tfrac{1}{2}
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| Terasspunkt: | \displaystyle x=-1
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| Lokalt min: | \displaystyle x=-2, \displaystyle x=2
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| Lokalt max: | \displaystyle x=-3, \displaystyle x=\tfrac{1}{2}
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| Globalt min: | \displaystyle x=-2
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| Globalt max: | \displaystyle x=-3
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| Strängt väx.: | \displaystyle [-2,\tfrac{1}{2}]
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| Strängt avt.: | \displaystyle [-3,-2], \displaystyle [\tfrac{1}{2},2]
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| d)
| Kritisk punkt:
| \displaystyle x=-\tfrac{5}{2}, \displaystyle x=\tfrac{1}{2}
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| Terasspunkt: | Saknas
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| Lokalt min:
| \displaystyle x=-\tfrac{5}{2}, \displaystyle x=-\tfrac{1}{2}, \displaystyle x=2
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| Lokalt max:
| \displaystyle x=-3, \displaystyle x=-1, \displaystyle x=\tfrac{1}{2}
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| Globalt min: | \displaystyle x=-\tfrac{5}{2}
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| Globalt max: | \displaystyle x=-1
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| Strängt väx.:
| \displaystyle [-\tfrac{5}{2},-1], \displaystyle [-\tfrac{1}{2},\tfrac{1}{2}]
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| Strängt avt.:
| \displaystyle [-3,-\tfrac{5}{2}], \displaystyle [-1,-\tfrac{1}{2}], \displaystyle [\tfrac{1}{2},2]
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