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xxl69
@xxl69
July 2022
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Помогите пожалуйста решить!
СРОЧНО!!!!!!!!!!!!!!!!
Дана функция: y=x^3+3x^2-9x-27
Найдите:
1)промежутки монотонности.
2)экстремумы функции
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sedinalana
Verified answer
Y=x³+3x²-9x-27
y`=3x²+6x-9
3(x²+2x-3)=0
x1+x2=-2 U x1*x2=-3
x1=-3 U x2=1
+ _ +
-------------------(-3)-------------(1)---------------
возр max убыв min возр
у(-3)=-27+27+27-27=0
у(1)=1+3-9-27=-32
4 votes
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Answers & Comments
Verified answer
Y=x³+3x²-9x-27y`=3x²+6x-9
3(x²+2x-3)=0
x1+x2=-2 U x1*x2=-3
x1=-3 U x2=1
+ _ +
-------------------(-3)-------------(1)---------------
возр max убыв min возр
у(-3)=-27+27+27-27=0
у(1)=1+3-9-27=-32