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Andrej111111
@Andrej111111
July 2022
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экстримум: Y=x^4-8x^2+6
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m11m
Verified answer
Y=x⁴ -8x² +6
y ' = 4x³ -16x
4x³ -16x=0
x³ -4x =0
x(x² -4)=0
x(x-2)(x+2)=0
x=0 x-2=0 x+2=0
x=2 x= -2
- + - +
------- -2 --------- 0 ----------- 2 -----------
x= -2 - точка минимума
х=0 - точка максимума
х=2 - точка минимума
1 votes
Thanks 1
Andrej111111
Спс теперь буду знать как надо делать
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Answers & Comments
Verified answer
Y=x⁴ -8x² +6y ' = 4x³ -16x
4x³ -16x=0
x³ -4x =0
x(x² -4)=0
x(x-2)(x+2)=0
x=0 x-2=0 x+2=0
x=2 x= -2
- + - +
------- -2 --------- 0 ----------- 2 -----------
x= -2 - точка минимума
х=0 - точка максимума
х=2 - точка минимума