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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*(x+3)-((3/2)*x) = 1/x+3 // - 1/x+3
(1/2)*(x+3)-((3/2)*x)-(1/x)-3 = 0
(1/2)*(x+3)+(-3/2)*x-x^-1-3 = 0
1/2*(x+3)+(-3*x)/2-1/x-3 = 0
(1/2*2*x*(x+3))/(2*x)+(-3*x*x)/(2*x)+(-1*2)/(2*x)+(-3*2*x)/(2*x) = 0
1/2*2*x*(x+3)-3*x*x-3*2*x-1*2 = 0
3*x-2*x^2-6*x-2 = 0
-2*x^2-3*x-2 = 0
-2*x^2-3*x-2 = 0
-1*(2*x^2+3*x+2) = 0
2*x^2+3*x+2 = 0
DELTA = 3^2-(2*2*4)
DELTA = -7
DELTA < 0
-1 = 0
-1/(2*x) = 0
-1/(2*x) = 0 // * 2*x
-1 = 0
x belongs to the empty set
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