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D( x )
3*x = 0
3*x = 0
3*x = 0
3*x = 0 // : 3
x = 0
x in (-oo:0) U (0:+oo)
(6*x^4-(6*x^3)-(18*x^2)-(6*x))/(3*x) = 0
(6*x^4-6*x^3-18*x^2-6*x)/(3*x) = 0
6*x^4-6*x^3-18*x^2-6*x = 0
6*x*(x^3-x^2-3*x-1) = 0
x^3-x^2-3*x-1 = 0
{ 1, -1 }
1
x = 1
x^3-x^2-3*x-1 = -4
1
-1
x = -1
x^3-x^2-3*x-1 = 0
-1
x+1
x^2-2*x-1
x^3-x^2-3*x-1
x+1
-x^3-x^2
-2*x^2-3*x-1
2*x^2+2*x
-x-1
x+1
0
x^2-2*x-1 = 0
DELTA = (-2)^2-(-1*1*4)
DELTA = 8
DELTA > 0
x = (8^(1/2)+2)/(1*2) or x = (2-8^(1/2))/(1*2)
x = (2*2^(1/2)+2)/2 or x = (2-2*2^(1/2))/2
x in { (2-2*2^(1/2))/2, (2*2^(1/2)+2)/2, -1}
6*x*(x-((2-2*2^(1/2))/2))*(x-((2*2^(1/2)+2)/2))*(x+1) = 0
(6*x*(x-((2-2*2^(1/2))/2))*(x-((2*2^(1/2)+2)/2))*(x+1))/(3*x) = 0
( 6*x )
6*x = 0 // : 6
x = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-((2*2^(1/2)+2)/2) )
x-((2*2^(1/2)+2)/2) = 0 // + (2*2^(1/2)+2)/2
x = (2*2^(1/2)+2)/2
( x-((2-2*2^(1/2))/2) )
x-((2-2*2^(1/2))/2) = 0 // + (2-2*2^(1/2))/2
x = (2-2*2^(1/2))/2
x in { 0}
x in { -1, (2*2^(1/2)+2)/2, (2-2*2^(1/2))/2 }
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