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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x = 3/x+1/2 // - 3/x+1/2
x-(3/x)-(1/2) = 0
x-3*x^-1-1/2 = 0
1*x^1-3*x^-1-1/2*x^0 = 0
(1*x^2-1/2*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-1/2*x^1-3*x^0) = 0
x^1
x^2+(-1/2)*x-3 = 0
x^2+(-1/2)*x-3 = 0
DELTA = (-1/2)^2-(-3*1*4)
DELTA = 49/4
DELTA > 0
x = ((49/4)^(1/2)-(-1/2))/(1*2) or x = (-(-1/2)-(49/4)^(1/2))/(1*2)
x = 2 or x = -3/2
x in { -3/2, 2}
x in { -3/2, 2 }
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