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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2*x-4)/x = (x-2)/2 // - (x-2)/2
(2*x-4)/x-((x-2)/2) = 0
(2*x-4)/x+(-1*(x-2))/2 = 0
(2*(2*x-4))/(2*x)+(-1*x*(x-2))/(2*x) = 0
2*(2*x-4)-1*x*(x-2) = 0
6*x-x^2-8 = 0
6*x-x^2-8 = 0
6*x-x^2-8 = 0
DELTA = 6^2-(-8*(-1)*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-6)/(-1*2) or x = (-4^(1/2)-6)/(-1*2)
x = 2 or x = 4
(x-2)*(x-4) = 0
((x-2)*(x-4))/(2*x) = 0
((x-2)*(x-4))/(2*x) = 0 // * 2*x
(x-2)*(x-4) = 0
( x-2 )
x-2 = 0 // + 2
x = 2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 2, 4 }
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