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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2-(18*x)+108 = 216/x // - 216/x
x^2-(18*x)-(216/x)+108 = 0
x^2-18*x-216*x^-1+108 = 0
1*x^2-18*x^1-216*x^-1+108*x^0 = 0
(1*x^3-18*x^2+108*x^1-216*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^3-18*x^2+108*x^1-216*x^0) = 0
x^1
x^3-18*x^2+108*x-216 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 27, -27, 36, -36, 54, -54, 72, -72, 108, -108, 216, -216 }
1
x = 1
x^3-18*x^2+108*x-216 = -125
1
-1
x = -1
x^3-18*x^2+108*x-216 = -343
-1
2
x = 2
x^3-18*x^2+108*x-216 = -64
2
-2
x = -2
x^3-18*x^2+108*x-216 = -512
-2
3
x = 3
x^3-18*x^2+108*x-216 = -27
3
-3
x = -3
x^3-18*x^2+108*x-216 = -729
-3
4
x = 4
x^3-18*x^2+108*x-216 = -8
4
-4
x = -4
x^3-18*x^2+108*x-216 = -1000
-4
6
x = 6
x^3-18*x^2+108*x-216 = 0
6
x-6
x^2-12*x+36
x^3-18*x^2+108*x-216
x-6
6*x^2-x^3
108*x-12*x^2-216
12*x^2-72*x
36*x-216
216-36*x
0
x^2-12*x+36 = 0
DELTA = (-12)^2-(1*4*36)
DELTA = 0
x = 12/(1*2)
x = 6 or x = 6
x in { 6, 6, 6}
x in { 6, 6, 6 }
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