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D( x )
9*x^3+3*x^2+3*x+1 = 0
9*x^3+3*x^2+3*x+1 = 0
9*x^3+3*x^2+3*x+1 = 0
9*x^3+3*x^2+3*x+1 = 0
9*x^3+3*x^2+3*x+1
3*x^2*(3*x+1)+3*x+1
(3*x^2+1)*(3*x+1)
(3*x^2+1)*(3*x+1) = 0
( 3*x+1 )
3*x+1 = 0 // - 1
3*x = -1 // : 3
x = -1/3
( 3*x^2+1 )
3*x^2 = -1 // : 3
x^2 = -1/3
x in (-oo:-1/3) U (-1/3:+oo)
(3*x^2-(8*x)-3)/(9*x^3+3*x^2+3*x+1) = 0
(3*x^2-8*x-3)/(9*x^3+3*x^2+3*x+1) = 0
3*x^2-8*x-3 = 0
3*x^2-8*x-3 = 0
DELTA = (-8)^2-(-3*3*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+8)/(2*3) or x = (8-100^(1/2))/(2*3)
x = 3 or x = -1/3
(x+1/3)*(x-3) = 0
9*x^3+3*x^2+3*x+1 = 0
9*x^3+3*x^2+3*x+1
3*x^2*(3*x+1)+3*x+1
(3*x^2+1)*(3*x+1)
((x+1/3)*(x-3))/((3*x^2+1)*(3*x+1)) = 0
( x+1/3 )
x+1/3 = 0 // - 1/3
x = -1/3
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1/3}
x = 3
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