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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
0 = 4*x-(108/(x^2)) // - 4*x-(108/(x^2))
108/(x^2)-(4*x)+0 = 0
108/(x^2)-4*x = 0
108*x^-2-4*x^1 = 0
(108*x^0-4*x^3)/(x^2) = 0 // * x^4
x^2*(108*x^0-4*x^3) = 0
x^2
108-4*x^3 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 27, -27, 36, -36, 54, -54, 108, -108 }
1
x = 1
108-4*x^3 = 104
1
-1
x = -1
108-4*x^3 = 112
-1
2
x = 2
108-4*x^3 = 76
2
-2
x = -2
108-4*x^3 = 140
-2
3
x = 3
108-4*x^3 = 0
3
x-3
-4*x^2-12*x-36
108-4*x^3
x-3
4*x^3-12*x^2
108-12*x^2
12*x^2-36*x
108-36*x
36*x-108
0
-4*x^2-12*x-36 = 0
DELTA = (-12)^2-(-36*(-4)*4)
DELTA = -432
DELTA < 0
x in { 3}
x = 3
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