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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(12/2)*x-1 < 8/x // - 8/x
(12/2)*x-(8/x)-1 < 0
(12/2)*x-8*x^-1-1 < 0
(12/2)*x-8*x^-1-1 = 0
6*x^1-8*x^-1-1*x^0 = 0
(6*x^2-1*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-1*x^1-8*x^0) = 0
x^1
6*x^2-x-8 = 0
6*x^2-x-8 = 0
DELTA = (-1)^2-(-8*4*6)
DELTA = 193
DELTA > 0
x = (193^(1/2)+1)/(2*6) or x = (1-193^(1/2))/(2*6)
x = (193^(1/2)+1)/12 or x = (1-193^(1/2))/12
x in { (1-193^(1/2))/12, (193^(1/2)+1)/12}
(x-((1-193^(1/2))/12))*(x-((193^(1/2)+1)/12)) < 0
(-oo:(1-193^(1/2))/12) ((1-193^(1/2))/12:(193^(1/2)+1)/12) ((193^(1/2)+1)/12:+oo) x-((1-193^(1/2))/12) - + + x-((193^(1/2)+1)/12) - - +
x in ((1-193^(1/2))/12:0) U (0:(193^(1/2)+1)/12)
((1-193^(1/2))/12:0) U (0:(193^(1/2)+1)/12)
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