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anastasya57
@anastasya57
October 2021
1
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Найдите наибольшее и наименьшее значения функции на отрезке [0;8]
Функция:
3/2 умножить на х^(2/3) - 1/3 умножить на х^3
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sedinalana
Verified answer
Y=3/2*∛x²-1/3*x³
y`=1/∛x-x²=0
(1-x²∛x)/∛x=0
x²∛x=1
x=1∈[0;8]
y(0)=0
y(1)=3/2-1/3=(9-2)/6=7/6=1 1/6 наиб
y(8)=3/2*4-1/3*512=6-512/3=(18-512)/3=-494/3=-164 2/3 наим
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Answers & Comments
Verified answer
Y=3/2*∛x²-1/3*x³y`=1/∛x-x²=0
(1-x²∛x)/∛x=0
x²∛x=1
x=1∈[0;8]
y(0)=0
y(1)=3/2-1/3=(9-2)/6=7/6=1 1/6 наиб
y(8)=3/2*4-1/3*512=6-512/3=(18-512)/3=-494/3=-164 2/3 наим