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