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D( t )
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
3*t^2+4/t = 3*t+4 // - 3*t+4
3*t^2-(3*t)+4/t-4 = 0
3*t^2-3*t+4/t-4 = 0
3*t^2-3*t^1+4*t^-1-4*t^0 = 0
(3*t^3-3*t^2-4*t^1+4*t^0)/(t^1) = 0 // * t^2
t^1*(3*t^3-3*t^2-4*t^1+4*t^0) = 0
t^1
3*t^3-3*t^2-4*t+4 = 0
{ 1, -1, 2, -2, 4, -4 }
1
t = 1
3*t^3-3*t^2-4*t+4 = 0
1
t-1
3*t^2-4
3*t^3-3*t^2-4*t+4
t-1
3*t^2-3*t^3
4-4*t
4*t-4
0
3*t^2-4 = 0
DELTA = 0^2-(-4*3*4)
DELTA = 48
DELTA > 0
t = (48^(1/2)+0)/(2*3) or t = (0-48^(1/2))/(2*3)
t = (2*3^(1/2))/3 or t = (-2*3^(1/2))/3
t in { (-2*3^(1/2))/3, (2*3^(1/2))/3, 1}
t in { (-2*3^(1/2))/3, (2*3^(1/2))/3, 1 }
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