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markys8695
@markys8695
August 2022
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помогите найти значении функции в точке минимума y=x4-4x3+6x2-4x
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sedinalana
Verified answer
Y=x^4-4x³+6x²-4x
y`=4x³-12x²+12x-4
4x³-12x²+12x-4=0
4(x³-3x²+3x-1)=0
4(x-1)³=0
x-1=0
x=1
_ +
-------------------------(1)-------------------
min
ymin=y(1)=1-4+6-4=-1
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Answers & Comments
Verified answer
Y=x^4-4x³+6x²-4xy`=4x³-12x²+12x-4
4x³-12x²+12x-4=0
4(x³-3x²+3x-1)=0
4(x-1)³=0
x-1=0
x=1
_ +
-------------------------(1)-------------------
min
ymin=y(1)=1-4+6-4=-1