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XoFF
@XoFF
July 2022
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чему равно минимальное значение функции на промежутке(отрезке)
f(x)=1/3x^3-2x^2+3x-5 на промежутке [2;4]
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sedinalana
F`(x)=x²-4x+3=0
x1+x2=4 U x1*x2=3
x1=1∉[2;4]
x2=3∈[2;4]
f(2)=2 2/3-4+6-5=-1/3
f(3)=9-18+9-5=-5 наименьшее
f(4)=21 1/3-32+20-5=4 1/3
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Answers & Comments
x1+x2=4 U x1*x2=3
x1=1∉[2;4]
x2=3∈[2;4]
f(2)=2 2/3-4+6-5=-1/3
f(3)=9-18+9-5=-5 наименьшее
f(4)=21 1/3-32+20-5=4 1/3