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D( x )
x^2-1 = 0
x+1 = 0
x-1 = 0
x^2-1 = 0
x^2-1 = 0
1*x^2 = 1 // : 1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-1) U (-1:1) U (1:+oo)
1/(x-1)+2/(x+1) = 6/(x^2-1) // - 6/(x^2-1)
1/(x-1)+2/(x+1)-(6/(x^2-1)) = 0
1/(x-1)+2/(x+1)-6*(x^2-1)^-1 = 0
1/(x-1)+2/(x+1)-6/(x^2-1) = 0
(1*(x+1)*(x^2-1))/((x-1)*(x+1)*(x^2-1))+(2*(x-1)*(x^2-1))/((x-1)*(x+1)*(x^2-1))+(-6*(x-1)*(x+1))/((x-1)*(x+1)*(x^2-1)) = 0
1*(x+1)*(x^2-1)+2*(x-1)*(x^2-1)-6*(x-1)*(x+1) = 0
3*x^3-x^2-6*x^2-3*x+1+6 = 0
3*x^3-7*x^2-3*x+7 = 0
3*x^3-7*x^2-3*x+7 = 0
3*x^3-7*x^2-3*x+7 = 0
{ 1, -1, 7, -7 }
1
x = 1
3*x^3-7*x^2-3*x+7 = 0
1
x-1
3*x^2-4*x-7
3*x^3-7*x^2-3*x+7
x-1
3*x^2-3*x^3
7-4*x^2-3*x
4*x^2-4*x
7-7*x
7*x-7
0
3*x^2-4*x-7 = 0
DELTA = (-4)^2-(-7*3*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+4)/(2*3) or x = (4-100^(1/2))/(2*3)
x = 7/3 or x = -1
x in { -1, 7/3, 1}
(x+1)*(x-7/3)*(x-1) = 0
((x+1)*(x-7/3)*(x-1))/((x-1)*(x+1)*(x^2-1)) = 0
((x+1)*(x-7/3)*(x-1))/((x-1)*(x+1)*(x^2-1)) = 0 // * (x-1)*(x+1)*(x^2-1)
(x+1)*(x-7/3)*(x-1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-1 )
x-1 = 0 // + 1
x = 1
( x-7/3 )
x-7/3 = 0 // + 7/3
x = 7/3
x in { -1}
x in { 1}
x = 7/3
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