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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x^(-1/3)-(2*x) = 0
2*x^(-1/3)-2*x = 0
t_1 = x^(1/3)
2*t_1^-1-2*t_1^3 = 0
(2*t_1^0-2*t_1^4)/(t_1^1) = 0 // * t_1^2
t_1^1*(2*t_1^0-2*t_1^4) = 0
t_1^1
2-2*t_1^4 = 0
{ 1, -1, 2, -2 }
1
t_1 = 1
2-2*t_1^4 = 0
1
t_1-1
-2*t_1^3-2*t_1^2-2*t_1-2
2-2*t_1^4
t_1-1
2*t_1^4-2*t_1^3
2-2*t_1^3
2*t_1^3-2*t_1^2
2-2*t_1^2
2*t_1^2-2*t_1
2-2*t_1
2*t_1-2
0
-2*t_1^3-2*t_1^2-2*t_1-2 = 0
{ 1, -1, 2, -2 }
1
t_1 = 1
-2*t_1^3-2*t_1^2-2*t_1-2 = -8
1
-1
t_1 = -1
-2*t_1^3-2*t_1^2-2*t_1-2 = 0
-1
t_1+1
-2*t_1^2-2
-2*t_1^3-2*t_1^2-2*t_1-2
t_1+1
2*t_1^3+2*t_1^2
-2*t_1-2
2*t_1+2
0
-2*t_1^2-2 = 0
DELTA = 0^2-(-2*(-2)*4)
DELTA = -16
DELTA < 0
t_1 in { 1, -1}
t_1 = 1
x^(1/3)-1 = 0
1*x^(1/3) = 1 // : 1
x^(1/3) = 1
x^(1/3) = 1 // ^ 3
x = 1
t_1 = -1
x^(1/3)+1 = 0
1*x^(1/3) = -1 // : 1
x^(1/3) = -1
( -1 < 0 i 1/3 in (0:1) ) => x należy do O
x = 1
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