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Gagarin60
@Gagarin60
July 2022
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Помогите решить 4 и 6 примеры.
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sedinalana
Verified answer
4
y`=4x+16=0
x=-4∉[-1;3]
y(-1)=2*1+16*(-1)-3=2-16-3=-17 наим
y(3)=2*9+16*3-3=18+48-3=63 наиб
6
y=4x²-x^4-3
D(y)∈R
y(-x)=4x²-x^4-3 четная
Точки пересечения с осями (0;0),(-√3;0),(√3;0),(-1;0)√(1;0)
y`=8x-4x³=4x(2-x²)=0
x=0 x=-√2 x=√2
+ _ + _
------------(-√2)-------------(0)--------------(√2)----------------
возр max убыв min возр max убыв
y(-√2)=y(√2)=4*2-4=4
y(0)=0
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Answers & Comments
Verified answer
4y`=4x+16=0
x=-4∉[-1;3]
y(-1)=2*1+16*(-1)-3=2-16-3=-17 наим
y(3)=2*9+16*3-3=18+48-3=63 наиб
6
y=4x²-x^4-3
D(y)∈R
y(-x)=4x²-x^4-3 четная
Точки пересечения с осями (0;0),(-√3;0),(√3;0),(-1;0)√(1;0)
y`=8x-4x³=4x(2-x²)=0
x=0 x=-√2 x=√2
+ _ + _
------------(-√2)-------------(0)--------------(√2)----------------
возр max убыв min возр max убыв
y(-√2)=y(√2)=4*2-4=4
y(0)=0