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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(3*x^1)/2-(96*x^-2) = 0
(3*x)/2-96*x^-2 = 0
3/2*x^1-96*x^-2 = 0
(3/2*x^3-96*x^0)/(x^2) = 0 // * x^4
x^2*(3/2*x^3-96*x^0) = 0
x^2
(3/2)*x^3-96 = 0
(3/2)*x^3-96 = 0 // * 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 32, -32, 48, -48, 64, -64, 96, -96, 192, -192 }
1
x = 1
3*x^3-192 = -189
1
-1
x = -1
3*x^3-192 = -195
-1
2
x = 2
3*x^3-192 = -168
2
-2
x = -2
3*x^3-192 = -216
-2
3
x = 3
3*x^3-192 = -111
3
-3
x = -3
3*x^3-192 = -273
-3
4
x = 4
3*x^3-192 = 0
4
x-4
3*x^2+12*x+48
3*x^3-192
x-4
12*x^2-3*x^3
12*x^2-192
48*x-12*x^2
48*x-192
192-48*x
0
3*x^2+12*x+48 = 0
DELTA = 12^2-(3*4*48)
DELTA = -432
DELTA < 0
x in { 4}
x = 4
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