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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
x > 1/(x-1) // - 1/(x-1)
x-(1/(x-1)) > 0
x-(x-1)^-1 > 0
x-1/(x-1) > 0
(x*(x-1))/(x-1)-1/(x-1) > 0
x*(x-1)-1 > 0
x^2-x-1 > 0
x^2-x-1 = 0
x^2-x-1 = 0
DELTA = (-1)^2-(-1*1*4)
DELTA = 5
DELTA > 0
x = (5^(1/2)+1)/(1*2) or x = (1-5^(1/2))/(1*2)
x = (5^(1/2)+1)/2 or x = (1-5^(1/2))/2
(x-((1-5^(1/2))/2))*(x-((5^(1/2)+1)/2)) = 0
((x-((1-5^(1/2))/2))*(x-((5^(1/2)+1)/2)))/(x-1) > 0
((x-((1-5^(1/2))/2))*(x-((5^(1/2)+1)/2)))/(x-1) > 0 // * (x-1)^2
(x-((1-5^(1/2))/2))*(x-((5^(1/2)+1)/2))*(x-1) > 0
( x-((1-5^(1/2))/2) )
x-((1-5^(1/2))/2) > 0 // + (1-5^(1/2))/2
x > (1-5^(1/2))/2
( x-((5^(1/2)+1)/2) )
x-((5^(1/2)+1)/2) > 0 // + (5^(1/2)+1)/2
x > (5^(1/2)+1)/2
( x-1 )
x-1 > 0 // + 1
x > 1
(-oo:(1-5^(1/2))/2) ((1-5^(1/2))/2:1) (1:(5^(1/2)+1)/2) ((5^(1/2)+1)/2:+oo) x-((1-5^(1/2))/2) - + + + x-((5^(1/2)+1)/2) - - - + x-1 - - + +
x in ((1-5^(1/2))/2:1) U ((5^(1/2)+1)/2:+oo)
((1-5^(1/2))/2:1) U ((5^(1/2)+1)/2:+oo)
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