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D( x )
x^3-(6*x^2)+8*x = 0
x^3-(6*x^2)+8*x = 0
x^3-(6*x^2)+8*x = 0
x^3-6*x^2+8*x = 0
x^3-6*x^2+8*x = 0
x*(x^2-6*x+8) = 0
x^2-6*x+8 = 0
DELTA = (-6)^2-(1*4*8)
DELTA = 4
DELTA > 0
x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)
x = 4 or x = 2
x = 0
x = 0
x in (-oo:0) U (0:2) U (2:4) U (4:+oo)
t_1 = 0
t_1-((3*x-1)/(x^3-6*x^2+8*x))+x = 0
(-1*(3*x-1))/(x^3-6*x^2+8*x)+t_1+x = 0
x^3-6*x^2+8*x = 0
x^3-6*x^2+8*x = 0
x*(x^2-6*x+8) = 0
x^2-6*x+8 = 0
DELTA = (-6)^2-(1*4*8)
DELTA = 4
DELTA > 0
x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)
x = 4 or x = 2
x*(x-2)*(x-4) = 0
(-1*(3*x-1))/(x*(x-2)*(x-4))+t_1+x = 0
(-1*(3*x-1))/(x*(x-2)*(x-4))+(t_1*x*(x-2)*(x-4))/(x*(x-2)*(x-4))+(x^2*(x-2)*(x-4))/(x*(x-2)*(x-4)) = 0
t_1*x*(x-2)*(x-4)-1*(3*x-1)+x^2*(x-2)*(x-4) = 0
t_1*x^3-6*t_1*x^2+8*t_1*x+x^4-6*x^3+8*x^2-3*x+1 = 0
t_1*x^3-6*t_1*x^2+8*t_1*x+x^4-6*x^3+8*x^2-3*x+1 = 0
t_1*x^3-6*t_1*x^2+8*t_1*x+x^4-6*x^3+8*x^2-3*x+1
t_1*x^3-3*x*(2*t_1*x+1)+8*t_1*x+x^4-6*x^3+8*x^2+1
t_1*x*(x^2+8)-3*x*(2*t_1*x+1)+x^4-6*x^3+8*x^2+1
x^2*(x^2+8)+t_1*x*(x^2+8)-3*x*(2*t_1*x+1)-6*x^3+1
(t_1*x+x^2)*(x^2+8)-3*x*(2*t_1*x+1)-6*x^3+1
(1-3*x)*(t_1*x+x^2)-6*x^3+1
2*(1-3*x)
(2*(1-3*x))/(x*(x-2)*(x-4)) = 0
(2*(1-3*x))/(x*(x-2)*(x-4)) = 0 // * x*(x-2)*(x-4)
2*(1-3*x) = 0
1-3*x = 0 // - 1
-3*x = -1 // : -3
x = -1/(-3)
x = 1/3
x = 1/3
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