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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-(4/x)-2 = (-2*x)/3 // - (-2*x)/3
2*x-((-2*x)/3)-(4/x)-2 = 0
2*x+(2/3)*x-4*x^-1-2 = 0
8/3*x^1-4*x^-1-2*x^0 = 0
(8/3*x^2-2*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(8/3*x^2-2*x^1-4*x^0) = 0
x^1
(8/3)*x^2-2*x-4 = 0
(8/3)*x^2-2*x-4 = 0
DELTA = (-2)^2-(-4*4*(8/3))
DELTA = 140/3
DELTA > 0
x = ((140/3)^(1/2)+2)/(2*(8/3)) or x = (2-(140/3)^(1/2))/(2*(8/3))
x = 3/16*((140/3)^(1/2)+2) or x = 3/16*(2-(140/3)^(1/2))
x in { 3/16*(2-(140/3)^(1/2)), 3/16*((140/3)^(1/2)+2)}
x in { 3/16*(2-(140/3)^(1/2)), 3/16*((140/3)^(1/2)+2) }
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