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D( t )
(4*t-1)^2 = 0
4*t-1 = 0
(4*t-1)^2 = 0
(4*t-1)^2 = 0
4*t-1 = 0 // + 1
4*t = 1 // : 4
t = 1/4
4*t-1 = 0
4*t-1 = 0
4*t-1 = 0 // + 1
4*t = 1 // : 4
t = 1/4
t in (-oo:1/4) U (1/4:+oo)
1-(1/(4*t-1)) = 12/((4*t-1)^2) // - 12/((4*t-1)^2)
1-(1/(4*t-1))-(12/((4*t-1)^2)) = 0
1-(4*t-1)^-1-12*(4*t-1)^-2 = 0
1-1/(4*t-1)-12/((4*t-1)^2) = 0
(-1*(4*t-1))/((4*t-1)^2)-12/((4*t-1)^2)+(1*(4*t-1)^2)/((4*t-1)^2) = 0
1*(4*t-1)^2-1*(4*t-1)-12 = 0
16*t^2-4*t-8*t-11+1 = 0
16*t^2-12*t-10 = 0
16*t^2-12*t-10 = 0
2*(8*t^2-6*t-5) = 0
8*t^2-6*t-5 = 0
DELTA = (-6)^2-(-5*4*8)
DELTA = 196
DELTA > 0
t = (196^(1/2)+6)/(2*8) or t = (6-196^(1/2))/(2*8)
t = 5/4 or t = -1/2
2*(t+1/2)*(t-5/4) = 0
(2*(t+1/2)*(t-5/4))/((4*t-1)^2) = 0
(2*(t+1/2)*(t-5/4))/((4*t-1)^2) = 0 // * (4*t-1)^2
2*(t+1/2)*(t-5/4) = 0
( 2 )
2 = 0
t belongs to the empty set
( t+1/2 )
t+1/2 = 0 // - 1/2
t = -1/2
( t-5/4 )
t-5/4 = 0 // + 5/4
t = 5/4
t in { -1/2, 5/4 }
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