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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x-(4/x)-8 > 0
x-4*x^-1-8 > 0
x-4*x^-1-8 = 0
1*x^1-4*x^-1-8*x^0 = 0
(1*x^2-8*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-8*x^1-4*x^0) = 0
x^1
x^2-8*x-4 = 0
x^2-8*x-4 = 0
DELTA = (-8)^2-(-4*1*4)
DELTA = 80
DELTA > 0
x = (80^(1/2)+8)/(1*2) or x = (8-80^(1/2))/(1*2)
x = (4*5^(1/2)+8)/2 or x = (8-4*5^(1/2))/2
x in { (8-4*5^(1/2))/2, (4*5^(1/2)+8)/2}
(x-((8-4*5^(1/2))/2))*(x-((4*5^(1/2)+8)/2)) > 0
(-oo:(8-4*5^(1/2))/2) ((8-4*5^(1/2))/2:(4*5^(1/2)+8)/2) ((4*5^(1/2)+8)/2:+oo) x-((8-4*5^(1/2))/2) - + + x-((4*5^(1/2)+8)/2) - - +
x in (-oo:(8-4*5^(1/2))/2) U ((4*5^(1/2)+8)/2:+oo)
(-oo:(8-4*5^(1/2))/2) U ((4*5^(1/2)+8)/2:+oo)
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