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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/6-(3/x) = 1/2 // - 1/2
x/6-(3/x)-(1/2) = 0
x/6-3*x^-1-1/2 = 0
1/6*x^1-3*x^-1-1/2*x^0 = 0
(1/6*x^2-1/2*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(1/6*x^2-1/2*x^1-3*x^0) = 0
x^1
(1/6)*x^2+(-1/2)*x-3 = 0
(1/6)*x^2+(-1/2)*x-3 = 0
DELTA = (-1/2)^2-(-3*4*(1/6))
DELTA = 9/4
DELTA > 0
x = ((9/4)^(1/2)-(-1/2))/(2*(1/6)) or x = (-(-1/2)-(9/4)^(1/2))/(2*(1/6))
x = 6 or x = -3
x in { -3, 6}
x in { -3, 6 }
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