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D( x )
1/x-((1/6)*x) = 0
x = 0
1/x-((1/6)*x) = 0
1/x-((1/6)*x) = 0
(-1/6)*x+1/x = 0
1*x^-1-1/6*x^1 = 0
(1*x^0-1/6*x^2)/(x^1) = 0 // * x^2
x^1*(1*x^0-1/6*x^2) = 0
x^1
(-1/6)*x^2+1 = 0
(-1/6)*x^2+1 = 0
DELTA = 0^2-(1*4*(-1/6))
DELTA = 2/3
DELTA > 0
x = ((2/3)^(1/2)+0)/(2*(-1/6)) or x = (0-(2/3)^(1/2))/(2*(-1/6))
x = -3*(2/3)^(1/2) or x = 3*(2/3)^(1/2)
x in { -3*(2/3)^(1/2), 3*(2/3)^(1/2)}
x = 0
x = 0
x in (-oo:-3*(2/3)^(1/2)) U (-3*(2/3)^(1/2):0) U (0:3*(2/3)^(1/2)) U (3*(2/3)^(1/2):+oo)
(1/x-((1/6)*x))^-1 = 0
((-1/6)*x+1/x)^-1 = 0
1/(x^-1-1/6*x) = 0
x^-1-1/6*x = 0
x^-1*(1-1/6*x^2) = 0
-1/6*x^2 = -1 // : -1/6
x^2 = 6
x^2 = 6 // ^ 1/2
abs(x) = 6^(1/2)
x = 6^(1/2) or x = -6^(1/2)
x^-1*(x-6^(1/2))*(x+6^(1/2)) = 0
1/(x^-1*(x-6^(1/2))*(x+6^(1/2))) = 0
x belongs to the empty set
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