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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8*x^(1/3)+4*x^(-2/3) = 0
t_1 = x^(1/3)
8*t_1^1+4*t_1^-2 = 0
8*t_1+4*t_1^-2 = 0
4*t_1*(t_1^-3+2) = 0
1*t_1^-3 = -2 // : 1
t_1^-3 = -2
-3 < 0
1/(t_1^3) = -2 // * t_1^3
1 = -2*t_1^3 // : -2
-1/2 = t_1^3
t_1^3 = -1/2 // ^ 1/3
t_1 = -(1/2)^(1/3)
4*t_1 = 0
4*t_1 = 0 // : 4
t_1 = 0
t_1 = -(1/2)^(1/3)
x^(1/3)+(1/2)^(1/3) = 0
1*x^(1/3) = -(1/2)^(1/3) // : 1
x^(1/3) = -(1/2)^(1/3)
( -(1/2)^(1/3) < 0 i 1/3 in (0:1) ) => x naleu017Cy do O
t_1 = 0
x^(1/3)+0 = 0
x^(1/3) = 0
1*x^(1/3) = 0 // : 1
x^(1/3) = 0
x = 0
x in { 0}
x belongs to the empty set
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