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hisdetka
@hisdetka
July 2022
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найти наименьшее и наибольшее значение функции у=-х^3+9x^2-24x+10 на промежутке [0;3]
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sedinalana
Verified answer
Y`=-3x²+18x-24=-3(x²-6x+8)=0
x1+x2=6 U x1*x2=8
x1=2∈[0;3]
x2=4∉[0;3]
y(0)=10 наиб
y(2)=-8+36-48+10=-10 наим
y(3)=-27+81-72+10=-8
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Answers & Comments
Verified answer
Y`=-3x²+18x-24=-3(x²-6x+8)=0x1+x2=6 U x1*x2=8
x1=2∈[0;3]
x2=4∉[0;3]
y(0)=10 наиб
y(2)=-8+36-48+10=-10 наим
y(3)=-27+81-72+10=-8