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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x-((4/9)*x^(-1/3)) = 0
x+(-4/9)*x^(-1/3) = 0
x-4/9*x^(-1/3) = 0
t_1 = x^(1/3)
1*t_1^3-4/9*t_1^-1 = 0
t_1^3-4/9*t_1^-1 = 0
t_1^-1*(t_1^4-4/9) = 0
1*t_1^4 = 4/9 // : 1
t_1^4 = 4/9
t_1^4 = 4/9 // ^ 1/4
abs(t_1) = (4/9)^(1/4)
t_1 = (4/9)^(1/4) or t_1 = -(4/9)^(1/4)
1/t_1 = 0
1*t_1^-1 = 0 // : 1
t_1^-1 = 0
t_1 należy do O
t_1 = (4/9)^(1/4)
x^(1/3)-(4/9)^(1/4) = 0
1*x^(1/3) = (4/9)^(1/4) // : 1
x^(1/3) = (4/9)^(1/4)
x^(1/3) = (4/9)^(1/4) // ^ 3
x = (4/9)^(3/4)
t_1 = -(4/9)^(1/4)
x^(1/3)+(4/9)^(1/4) = 0
1*x^(1/3) = -(4/9)^(1/4) // : 1
x^(1/3) = -(4/9)^(1/4)
( -(4/9)^(1/4) < 0 i 1/3 in (0:1) ) => x należy do O
x = (4/9)^(3/4)
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