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D( t )
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
6*t^(-2/3)-t^(-1/3)-1 = 0
t_1 = t^(-1/3)
6*t_1^2-1*t_1^1-1 = 0
6*t_1^2-t_1-1 = 0
DELTA = (-1)^2-(-1*4*6)
DELTA = 25
DELTA > 0
t_1 = (25^(1/2)+1)/(2*6) or t_1 = (1-25^(1/2))/(2*6)
t_1 = 1/2 or t_1 = -1/3
t_1 = -1/3
t^(-1/3)+1/3 = 0
1*t^(-1/3) = -1/3 // : 1
t^(-1/3) = -1/3
-1/3 < 0
1/(t^(1/3)) = -1/3 // * t^(1/3)
1 = -1/3*t^(1/3) // : -1/3
-3 = t^(1/3)
t^(1/3) = -3 // ^ 3
t = -27
t_1 = 1/2
t^(-1/3)-1/2 = 0
1*t^(-1/3) = 1/2 // : 1
t^(-1/3) = 1/2
-1/3 < 0
1/(t^(1/3)) = 1/2 // * t^(1/3)
1 = 1/2*t^(1/3) // : 1/2
2 = t^(1/3)
t^(1/3) = 2 // ^ 3
t = 8
t in { -27, 8 }
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