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khokhlovakater
@khokhlovakater
August 2021
1
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СРОЧНО!ПОМОГИТЕ РЕШИТЬ!ДАЮ 98БАЛЛОВ.ТОЛЬКО С РЕШЕНИЕМ!
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sedinalana
1
a)f`(x)=12-3x²
3(2-x)(2+x)=0
x=2 x=-2
_ + _
----------(-2)------------------(2)-------------
min max
b)f`(x)=16x-4x³
4x(2-x)(2+x)=0
x=0 x=2 x=-2
+ _ + _
-----------(-2)--------------(0)-------------(2)-----------
max min max
2
a)f`(x)=3x²+6x-9
3(x²+2x-3)=0
x1+x2=-2 U x1*x2=-3
x1=-3 U x2=1
+ _ +
-------------(-3)------------------(1)----------
возр убыв возр
б)f`(x)=12x²-60x³
12x²(1-5x)=0
x=0 x=0,2
+ + _
-----------(0)----------------(0,2)------------
возр возр убыв
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Answers & Comments
a)f`(x)=12-3x²
3(2-x)(2+x)=0
x=2 x=-2
_ + _
----------(-2)------------------(2)-------------
min max
b)f`(x)=16x-4x³
4x(2-x)(2+x)=0
x=0 x=2 x=-2
+ _ + _
-----------(-2)--------------(0)-------------(2)-----------
max min max
2
a)f`(x)=3x²+6x-9
3(x²+2x-3)=0
x1+x2=-2 U x1*x2=-3
x1=-3 U x2=1
+ _ +
-------------(-3)------------------(1)----------
возр убыв возр
б)f`(x)=12x²-60x³
12x²(1-5x)=0
x=0 x=0,2
+ + _
-----------(0)----------------(0,2)------------
возр возр убыв