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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3/x-x+6 = 2/3 // - 2/3
3/x-x-(2/3)+6 = 0
3/x-x-2/3+6 = 0
3*x^-1-1*x^1+16/3*x^0 = 0
(16/3*x^1-1*x^2+3*x^0)/(x^1) = 0 // * x^2
x^1*(16/3*x^1-1*x^2+3*x^0) = 0
x^1
(16/3)*x-x^2+3 = 0
(16/3)*x-x^2+3 = 0
DELTA = (16/3)^2-(-1*3*4)
DELTA = 364/9
DELTA > 0
x = ((364/9)^(1/2)-(16/3))/(-1*2) or x = (-(16/3)-(364/9)^(1/2))/(-1*2)
x = ((364/9)^(1/2)-16/3)/(-2) or x = ((364/9)^(1/2)+16/3)/2
x in { ((364/9)^(1/2)-16/3)/(-2), ((364/9)^(1/2)+16/3)/2}
x in { ((364/9)^(1/2)-16/3)/(-2), ((364/9)^(1/2)+16/3)/2 }
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