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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-(1/x)-4 > 0
2*x-x^-1-4 > 0
2*x-x^-1-4 = 0
2*x^1-1*x^-1-4*x^0 = 0
(2*x^2-4*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-4*x^1-1*x^0) = 0
x^1
2*x^2-4*x-1 = 0
2*x^2-4*x-1 = 0
DELTA = (-4)^2-(-1*2*4)
DELTA = 24
DELTA > 0
x = (24^(1/2)+4)/(2*2) or x = (4-24^(1/2))/(2*2)
x = (2*6^(1/2)+4)/4 or x = (4-2*6^(1/2))/4
x in { (4-2*6^(1/2))/4, (2*6^(1/2)+4)/4}
(x-((4-2*6^(1/2))/4))*(x-((2*6^(1/2)+4)/4)) > 0
(-oo:(4-2*6^(1/2))/4) ((4-2*6^(1/2))/4:(2*6^(1/2)+4)/4) ((2*6^(1/2)+4)/4:+oo) x-((4-2*6^(1/2))/4) - + + x-((2*6^(1/2)+4)/4) - - +
x in (-oo:(4-2*6^(1/2))/4) U ((2*6^(1/2)+4)/4:+oo)
(-oo:(4-2*6^(1/2))/4) U ((2*6^(1/2)+4)/4:+oo)
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