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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x-2 > 4/x // - 4/x
x-(4/x)-2 > 0
x-4*x^-1-2 > 0
x-4*x^-1-2 = 0
1*x^1-4*x^-1-2*x^0 = 0
(1*x^2-2*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-2*x^1-4*x^0) = 0
x^1
x^2-2*x-4 = 0
x^2-2*x-4 = 0
DELTA = (-2)^2-(-4*1*4)
DELTA = 20
DELTA > 0
x = (20^(1/2)+2)/(1*2) or x = (2-20^(1/2))/(1*2)
x = (2*5^(1/2)+2)/2 or x = (2-2*5^(1/2))/2
x in { (2-2*5^(1/2))/2, (2*5^(1/2)+2)/2}
(x-((2-2*5^(1/2))/2))*(x-((2*5^(1/2)+2)/2)) > 0
(-oo:(2-2*5^(1/2))/2) ((2-2*5^(1/2))/2:(2*5^(1/2)+2)/2) ((2*5^(1/2)+2)/2:+oo) x-((2-2*5^(1/2))/2) - + + x-((2*5^(1/2)+2)/2) - - +
x in (-oo:(2-2*5^(1/2))/2) U ((2*5^(1/2)+2)/2:+oo)
(-oo:(2-2*5^(1/2))/2) U ((2*5^(1/2)+2)/2:+oo)
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