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D( t )
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
(1/3)*t^3 = 27/t // - 27/t
(1/3)*t^3-(27/t) = 0
(1/3)*t^3-27*t^-1 = 0
1/3*t^3-27*t^-1 = 0
(1/3*t^4-27*t^0)/(t^1) = 0 // * t^2
t^1*(1/3*t^4-27*t^0) = 0
t^1
(1/3)*t^4-27 = 0
(1/3)*t^4-27 = 0 // * 0
{ 1, -1, 3, -3, 9, -9, 27, -27, 81, -81 }
1
t = 1
t^4-81 = -80
1
-1
t = -1
t^4-81 = -80
-1
3
t = 3
t^4-81 = 0
3
t-3
t^3+3*t^2+9*t+27
t^4-81
t-3
3*t^3-t^4
3*t^3-81
9*t^2-3*t^3
9*t^2-81
27*t-9*t^2
27*t-81
81-27*t
0
t^3+3*t^2+9*t+27 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27 }
1
t = 1
t^3+3*t^2+9*t+27 = 40
1
-1
t = -1
t^3+3*t^2+9*t+27 = 20
-1
3
t = 3
t^3+3*t^2+9*t+27 = 108
3
-3
t = -3
t^3+3*t^2+9*t+27 = 0
-3
t+3
t^2+9
t^3+3*t^2+9*t+27
t+3
-t^3-3*t^2
9*t+27
-9*t-27
0
t^2+9 = 0
DELTA = 0^2-(1*4*9)
DELTA = -36
DELTA < 0
t in { 3, -3}
t in { 3, -3 }
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