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artembakalov
@artembakalov
July 2022
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Найти наибольшее и наименьшее значение функции
f(x)=x+9/x
На промежутке [1;4]
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sedinalana
Verified answer
F`(x)=1-9/x²=(x²-9)/x²=0
x²-9=0
x²=9
x=-3∉[1;4]
x=3∈[1;4]
y(1)=1+9=10 наиб
y(3)=3+3=6 наим
y(4)=4+2,25=6,25
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Verified answer
F`(x)=1-9/x²=(x²-9)/x²=0x²-9=0
x²=9
x=-3∉[1;4]
x=3∈[1;4]
y(1)=1+9=10 наиб
y(3)=3+3=6 наим
y(4)=4+2,25=6,25