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mmrplt
@mmrplt
July 2022
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Найдите наименьшее значение функции:
[tex]y = x - 6 \sqrt{x} +11[/tex]
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sedinalana
Verified answer
Y=x-6√x+11
1)y=(√x-3)²+2
наименьшее значение у=2 при х=9
2)y`=1-6/2√x=1-3/√x=(√x-3)/√x=0
√x-3=0
√x=3
x=9
_ +
(0)-------------------(9)----------------
min
y(9)=9-6*3+11=2
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Answers & Comments
Verified answer
Y=x-6√x+111)y=(√x-3)²+2
наименьшее значение у=2 при х=9
2)y`=1-6/2√x=1-3/√x=(√x-3)/√x=0
√x-3=0
√x=3
x=9
_ +
(0)-------------------(9)----------------
min
y(9)=9-6*3+11=2