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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
1/x-((1/3)*x) = 6 // - 6
1/x-((1/3)*x)-6 = 0
(-1/3)*x+1/x-6 = 0
1*x^-1-1/3*x^1-6*x^0 = 0
(1*x^0-1/3*x^2-6*x^1)/(x^1) = 0 // * x^2
x^1*(1*x^0-1/3*x^2-6*x^1) = 0
x^1
(-1/3)*x^2-6*x+1 = 0
(-1/3)*x^2-6*x+1 = 0
DELTA = (-6)^2-(1*4*(-1/3))
DELTA = 112/3
DELTA > 0
x = ((112/3)^(1/2)+6)/(2*(-1/3)) or x = (6-(112/3)^(1/2))/(2*(-1/3))
x = -3/2*((112/3)^(1/2)+6) or x = -3/2*(6-(112/3)^(1/2))
x in { -3/2*((112/3)^(1/2)+6), -3/2*(6-(112/3)^(1/2))}
x in { -3/2*((112/3)^(1/2)+6), -3/2*(6-(112/3)^(1/2)) }
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