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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x-5 < 6/x // - 6/x
6*x-(6/x)-5 < 0
6*x-6*x^-1-5 < 0
6*x-6*x^-1-5 = 0
6*x^1-6*x^-1-5*x^0 = 0
(6*x^2-5*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(6*x^2-5*x^1-6*x^0) = 0
x^1
6*x^2-5*x-6 = 0
6*x^2-5*x-6 = 0
DELTA = (-5)^2-(-6*4*6)
DELTA = 169
DELTA > 0
x = (169^(1/2)+5)/(2*6) or x = (5-169^(1/2))/(2*6)
x = 3/2 or x = -2/3
x in { -2/3, 3/2}
(x+2/3)*(x-3/2) < 0
(-oo:-2/3) (-2/3:3/2) (3/2:+oo) x+2/3 - + + x-3/2 - - +
x in (-2/3:0) U (0:3/2)
(-2/3:0) U (0:3/2)
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