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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*x-((3/2)*x^2)-(3*x)-(5/x)-3 = 0
(-3/2)*x^2+(1/2)*x-3*x-5*x^-1-3 = 0
-3/2*x^2-5/2*x^1-5*x^-1-3*x^0 = 0
(-3/2*x^3-5/2*x^2-3*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(-3/2*x^3-5/2*x^2-3*x^1-5*x^0) = 0
x^1
(-3/2)*x^3+(-5/2)*x^2-3*x-5 = 0
(-3/2)*x^3+(-5/2)*x^2-3*x-5 = 0 // * 0
{ 1, -1, 2, -2, 5, -5, 10, -10 }
1
x = 1
-3*x^3-5*x^2-6*x-10 = -24
1
-1
x = -1
-3*x^3-5*x^2-6*x-10 = -6
-1
2
x = 2
-3*x^3-5*x^2-6*x-10 = -66
2
-2
x = -2
-3*x^3-5*x^2-6*x-10 = 6
-2
5
x = 5
-3*x^3-5*x^2-6*x-10 = -540
5
-5
x = -5
-3*x^3-5*x^2-6*x-10 = 270
-5
10
x = 10
-3*x^3-5*x^2-6*x-10 = -3570
10
-10
x = -10
-3*x^3-5*x^2-6*x-10 = 2550
-10
{ 1/3, -1/3, -1/3, 1/3, 2/3, -2/3, -2/3, 2/3, 5/3, -5/3, -5/3, 5/3, 10/3, -10/3, -10/3, 10/3 }
1/3
x
1/3
-3*x^3-5*x^2-6*x-10 = -12.66666667
1/3
-1/3
x
-1/3
-3*x^3-5*x^2-6*x-10 = -8.44444445
-1/3
-1/3
x
-1/3
-3*x^3-5*x^2-6*x-10 = -8.44444445
-1/3
1/3
x
1/3
-3*x^3-5*x^2-6*x-10 = -12.66666667
1/3
2/3
x
2/3
-3*x^3-5*x^2-6*x-10 = -17.11111111
2/3
-2/3
x
-2/3
-3*x^3-5*x^2-6*x-10 = -7.33333333
-2/3
-2/3
x
-2/3
-3*x^3-5*x^2-6*x-10 = -7.33333333
-2/3
2/3
x
2/3
-3*x^3-5*x^2-6*x-10 = -17.11111111
2/3
5/3
x
5/3
-3*x^3-5*x^2-6*x-10 = -47.77777778
5/3
-5/3
x
-5/3
-3*x^3-5*x^2-6*x-10 = 0
-5/3
x+5/3
-3*x^2-6
-3*x^3-5*x^2-6*x-10
x+5/3
3*x^3+5*x^2
-6*x-10
6*x+10
0
-3*x^2-6 = 0
DELTA = 0^2-(-6*(-3)*4)
DELTA = -72
DELTA < 0
x in { -5/3}
x = -5/3
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