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12 часов назад
1
f(x)=2x^3-x^2
f'(x)=6x^2-2x
6x^2-2x=0
2x(3x-1)=0
x1=0
x2=1/3
f'(x)=0 при x1=0 x2=1/3
-------(+)-----(0)----(-)------(1/3)-----(+)---
f'(x)>0 при х (-∞,0) U (1/3;+∞)
f'(x)<0 при х (0,1/3)
f(x)=3x^3-2x^2-4
f'(x)=9x^2-4x
9x^2-4x=0
x(9x-4)=0
x1=0
x2=4/9
f'(x)=0 при x1=0 x2=4/9
------(+)----(0)-----(-)-----(4/9)----(+)----
f'(x)>0 при x (-∞,0) U (4/9;+∞)
f'(x)<0 при x (0,4/9)